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Finding the Fourth Proportional to 1,042.74, 1,564.31 and 349.49

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Solution

The fourth proportional to 1,042.74, 1,564.31 and 349.49 is: 524.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.74 : 1,564.31 = 349.49 : x
  2. Step 2: Convert to fraction form
    1,042.74/1,564.31 = 349.49/x
  3. Step 3: Cross multiply
    1,042.74x = 1,564.31 × 349.49
  4. Step 4: Simplify right side
    1,042.74x = 546,701.13
  5. Step 5: Solve for x
    x = 546,701.13/1,042.74
  6. Step 6: Final answer
    x = 524.29

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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.