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Finding the Fourth Proportional to 1,298.52, 1,948.32 and 649.44

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Solution

The fourth proportional to 1,298.52, 1,948.32 and 649.44 is: 974.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.52 : 1,948.32 = 649.44 : x
  2. Step 2: Convert to fraction form
    1,298.52/1,948.32 = 649.44/x
  3. Step 3: Cross multiply
    1,298.52x = 1,948.32 × 649.44
  4. Step 4: Simplify right side
    1,298.52x = 1,265,316.94
  5. Step 5: Solve for x
    x = 1,265,316.94/1,298.52
  6. Step 6: Final answer
    x = 974.43

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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.