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Finding the Fourth Proportional to 746.97, 1,030.66 and 452.24

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Solution

The fourth proportional to 746.97, 1,030.66 and 452.24 is: 623.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.97 : 1,030.66 = 452.24 : x
  2. Step 2: Convert to fraction form
    746.97/1,030.66 = 452.24/x
  3. Step 3: Cross multiply
    746.97x = 1,030.66 × 452.24
  4. Step 4: Simplify right side
    746.97x = 466,098.26
  5. Step 5: Solve for x
    x = 466,098.26/746.97
  6. Step 6: Final answer
    x = 623.99

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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.