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Finding the Fourth Proportional to 1,042.83, 1,564.20 and 349.92

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Solution

The fourth proportional to 1,042.83, 1,564.20 and 349.92 is: 524.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.83 : 1,564.20 = 349.92 : x
  2. Step 2: Convert to fraction form
    1,042.83/1,564.20 = 349.92/x
  3. Step 3: Cross multiply
    1,042.83x = 1,564.20 × 349.92
  4. Step 4: Simplify right side
    1,042.83x = 547,344.86
  5. Step 5: Solve for x
    x = 547,344.86/1,042.83
  6. Step 6: Final answer
    x = 524.86

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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.