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Finding the Fourth Proportional to 733.32, 1,012.23 and 512.73

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Solution

The fourth proportional to 733.32, 1,012.23 and 512.73 is: 707.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.32 : 1,012.23 = 512.73 : x
  2. Step 2: Convert to fraction form
    733.32/1,012.23 = 512.73/x
  3. Step 3: Cross multiply
    733.32x = 1,012.23 × 512.73
  4. Step 4: Simplify right side
    733.32x = 519,000.69
  5. Step 5: Solve for x
    x = 519,000.69/733.32
  6. Step 6: Final answer
    x = 707.74

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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.