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Finding the Fourth Proportional to 733.47, 1,102.47 and 491.55

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Solution

The fourth proportional to 733.47, 1,102.47 and 491.55 is: 738.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.47 : 1,102.47 = 491.55 : x
  2. Step 2: Convert to fraction form
    733.47/1,102.47 = 491.55/x
  3. Step 3: Cross multiply
    733.47x = 1,102.47 × 491.55
  4. Step 4: Simplify right side
    733.47x = 541,919.13
  5. Step 5: Solve for x
    x = 541,919.13/733.47
  6. Step 6: Final answer
    x = 738.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.