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Finding the Fourth Proportional to 944.25, 1,414.52 and 532.14

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Solution

The fourth proportional to 944.25, 1,414.52 and 532.14 is: 797.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.25 : 1,414.52 = 532.14 : x
  2. Step 2: Convert to fraction form
    944.25/1,414.52 = 532.14/x
  3. Step 3: Cross multiply
    944.25x = 1,414.52 × 532.14
  4. Step 4: Simplify right side
    944.25x = 752,722.67
  5. Step 5: Solve for x
    x = 752,722.67/944.25
  6. Step 6: Final answer
    x = 797.16

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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.