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Finding the Fourth Proportional to 1,298.49, 1,946.12 and 649.41

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Solution

The fourth proportional to 1,298.49, 1,946.12 and 649.41 is: 973.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.49 : 1,946.12 = 649.41 : x
  2. Step 2: Convert to fraction form
    1,298.49/1,946.12 = 649.41/x
  3. Step 3: Cross multiply
    1,298.49x = 1,946.12 × 649.41
  4. Step 4: Simplify right side
    1,298.49x = 1,263,826.54
  5. Step 5: Solve for x
    x = 1,263,826.54/1,298.49
  6. Step 6: Final answer
    x = 973.30

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.