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Finding the Fourth Proportional to 574.46, 861.87 and 513.20

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Solution

The fourth proportional to 574.46, 861.87 and 513.20 is: 769.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.46 : 861.87 = 513.20 : x
  2. Step 2: Convert to fraction form
    574.46/861.87 = 513.20/x
  3. Step 3: Cross multiply
    574.46x = 861.87 × 513.20
  4. Step 4: Simplify right side
    574.46x = 442,307.37
  5. Step 5: Solve for x
    x = 442,307.37/574.46
  6. Step 6: Final answer
    x = 769.96

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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.