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Finding the Fourth Proportional to 747.11, 1,032.33 and 537.98

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Solution

The fourth proportional to 747.11, 1,032.33 and 537.98 is: 743.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.11 : 1,032.33 = 537.98 : x
  2. Step 2: Convert to fraction form
    747.11/1,032.33 = 537.98/x
  3. Step 3: Cross multiply
    747.11x = 1,032.33 × 537.98
  4. Step 4: Simplify right side
    747.11x = 555,372.89
  5. Step 5: Solve for x
    x = 555,372.89/747.11
  6. Step 6: Final answer
    x = 743.36

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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.