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Finding the Fourth Proportional to 742.14, 1,022.58 and 532.14

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Solution

The fourth proportional to 742.14, 1,022.58 and 532.14 is: 733.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.14 : 1,022.58 = 532.14 : x
  2. Step 2: Convert to fraction form
    742.14/1,022.58 = 532.14/x
  3. Step 3: Cross multiply
    742.14x = 1,022.58 × 532.14
  4. Step 4: Simplify right side
    742.14x = 544,155.72
  5. Step 5: Solve for x
    x = 544,155.72/742.14
  6. Step 6: Final answer
    x = 733.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.