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Finding the Fourth Proportional to 814.73, 1,124.48 and 531.50

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Solution

The fourth proportional to 814.73, 1,124.48 and 531.50 is: 733.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.73 : 1,124.48 = 531.50 : x
  2. Step 2: Convert to fraction form
    814.73/1,124.48 = 531.50/x
  3. Step 3: Cross multiply
    814.73x = 1,124.48 × 531.50
  4. Step 4: Simplify right side
    814.73x = 597,658.46
  5. Step 5: Solve for x
    x = 597,658.46/814.73
  6. Step 6: Final answer
    x = 733.57

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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.