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Finding the Fourth Proportional to 733.50, 1,012.08 and 497.49

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Solution

The fourth proportional to 733.50, 1,012.08 and 497.49 is: 686.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.50 : 1,012.08 = 497.49 : x
  2. Step 2: Convert to fraction form
    733.50/1,012.08 = 497.49/x
  3. Step 3: Cross multiply
    733.50x = 1,012.08 × 497.49
  4. Step 4: Simplify right side
    733.50x = 503,499.68
  5. Step 5: Solve for x
    x = 503,499.68/733.50
  6. Step 6: Final answer
    x = 686.43

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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.