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Finding the Fourth Proportional to 733.05, 1,011.92 and 497.43

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Solution

The fourth proportional to 733.05, 1,011.92 and 497.43 is: 686.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.05 : 1,011.92 = 497.43 : x
  2. Step 2: Convert to fraction form
    733.05/1,011.92 = 497.43/x
  3. Step 3: Cross multiply
    733.05x = 1,011.92 × 497.43
  4. Step 4: Simplify right side
    733.05x = 503,356.88
  5. Step 5: Solve for x
    x = 503,356.88/733.05
  6. Step 6: Final answer
    x = 686.66

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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.