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Finding the Fourth Proportional to 1,042.57, 1,564.11 and 349.24

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Solution

The fourth proportional to 1,042.57, 1,564.11 and 349.24 is: 523.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.57 : 1,564.11 = 349.24 : x
  2. Step 2: Convert to fraction form
    1,042.57/1,564.11 = 349.24/x
  3. Step 3: Cross multiply
    1,042.57x = 1,564.11 × 349.24
  4. Step 4: Simplify right side
    1,042.57x = 546,252.22
  5. Step 5: Solve for x
    x = 546,252.22/1,042.57
  6. Step 6: Final answer
    x = 523.95

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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.