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Finding the Fourth Proportional to 747.42, 1,121.40 and 314.88

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Solution

The fourth proportional to 747.42, 1,121.40 and 314.88 is: 472.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.42 : 1,121.40 = 314.88 : x
  2. Step 2: Convert to fraction form
    747.42/1,121.40 = 314.88/x
  3. Step 3: Cross multiply
    747.42x = 1,121.40 × 314.88
  4. Step 4: Simplify right side
    747.42x = 353,106.43
  5. Step 5: Solve for x
    x = 353,106.43/747.42
  6. Step 6: Final answer
    x = 472.43

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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.