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Finding the Fourth Proportional to 746.28, 1,029.96 and 497.52

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Solution

The fourth proportional to 746.28, 1,029.96 and 497.52 is: 686.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.28 : 1,029.96 = 497.52 : x
  2. Step 2: Convert to fraction form
    746.28/1,029.96 = 497.52/x
  3. Step 3: Cross multiply
    746.28x = 1,029.96 × 497.52
  4. Step 4: Simplify right side
    746.28x = 512,425.70
  5. Step 5: Solve for x
    x = 512,425.70/746.28
  6. Step 6: Final answer
    x = 686.64

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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.