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Finding the Fourth Proportional to 746.92, 1,031.00 and 452.18

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Solution

The fourth proportional to 746.92, 1,031.00 and 452.18 is: 624.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.92 : 1,031.00 = 452.18 : x
  2. Step 2: Convert to fraction form
    746.92/1,031.00 = 452.18/x
  3. Step 3: Cross multiply
    746.92x = 1,031.00 × 452.18
  4. Step 4: Simplify right side
    746.92x = 466,200.29
  5. Step 5: Solve for x
    x = 466,200.29/746.92
  6. Step 6: Final answer
    x = 624.17

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Why These Related Problems?

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