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Finding the Fourth Proportional to 1,298.97, 1,948.47 and 433.29

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Solution

The fourth proportional to 1,298.97, 1,948.47 and 433.29 is: 649.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.97 : 1,948.47 = 433.29 : x
  2. Step 2: Convert to fraction form
    1,298.97/1,948.47 = 433.29/x
  3. Step 3: Cross multiply
    1,298.97x = 1,948.47 × 433.29
  4. Step 4: Simplify right side
    1,298.97x = 844,252.57
  5. Step 5: Solve for x
    x = 844,252.57/1,298.97
  6. Step 6: Final answer
    x = 649.94

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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.