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Finding the Fourth Proportional to 747.33, 1,032.45 and 498.56

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Solution

The fourth proportional to 747.33, 1,032.45 and 498.56 is: 688.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.33 : 1,032.45 = 498.56 : x
  2. Step 2: Convert to fraction form
    747.33/1,032.45 = 498.56/x
  3. Step 3: Cross multiply
    747.33x = 1,032.45 × 498.56
  4. Step 4: Simplify right side
    747.33x = 514,731.24
  5. Step 5: Solve for x
    x = 514,731.24/747.33
  6. Step 6: Final answer
    x = 688.76

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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.