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Finding the Fourth Proportional to 741.69, 1,023.17 and 531.90

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Solution

The fourth proportional to 741.69, 1,023.17 and 531.90 is: 733.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.69 : 1,023.17 = 531.90 : x
  2. Step 2: Convert to fraction form
    741.69/1,023.17 = 531.90/x
  3. Step 3: Cross multiply
    741.69x = 1,023.17 × 531.90
  4. Step 4: Simplify right side
    741.69x = 544,221.46
  5. Step 5: Solve for x
    x = 544,221.46/741.69
  6. Step 6: Final answer
    x = 733.76

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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.