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Finding the Fourth Proportional to 747.42, 1,119.69 and 531.42

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Solution

The fourth proportional to 747.42, 1,119.69 and 531.42 is: 796.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.42 : 1,119.69 = 531.42 : x
  2. Step 2: Convert to fraction form
    747.42/1,119.69 = 531.42/x
  3. Step 3: Cross multiply
    747.42x = 1,119.69 × 531.42
  4. Step 4: Simplify right side
    747.42x = 595,025.66
  5. Step 5: Solve for x
    x = 595,025.66/747.42
  6. Step 6: Final answer
    x = 796.11

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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.