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Finding the Fourth Proportional to 1,042.83, 1,563.91 and 349.31

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Solution

The fourth proportional to 1,042.83, 1,563.91 and 349.31 is: 523.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.83 : 1,563.91 = 349.31 : x
  2. Step 2: Convert to fraction form
    1,042.83/1,563.91 = 349.31/x
  3. Step 3: Cross multiply
    1,042.83x = 1,563.91 × 349.31
  4. Step 4: Simplify right side
    1,042.83x = 546,292.44
  5. Step 5: Solve for x
    x = 546,292.44/1,042.83
  6. Step 6: Final answer
    x = 523.86

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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.