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Finding the Fourth Proportional to 747.26, 1,120.22 and 314.18

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Solution

The fourth proportional to 747.26, 1,120.22 and 314.18 is: 470.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.26 : 1,120.22 = 314.18 : x
  2. Step 2: Convert to fraction form
    747.26/1,120.22 = 314.18/x
  3. Step 3: Cross multiply
    747.26x = 1,120.22 × 314.18
  4. Step 4: Simplify right side
    747.26x = 351,943.55
  5. Step 5: Solve for x
    x = 351,943.55/747.26
  6. Step 6: Final answer
    x = 470.98

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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.