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Finding the Fourth Proportional to 1,042.14, 1,562.49 and 392.31

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Solution

The fourth proportional to 1,042.14, 1,562.49 and 392.31 is: 588.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.14 : 1,562.49 = 392.31 : x
  2. Step 2: Convert to fraction form
    1,042.14/1,562.49 = 392.31/x
  3. Step 3: Cross multiply
    1,042.14x = 1,562.49 × 392.31
  4. Step 4: Simplify right side
    1,042.14x = 612,980.45
  5. Step 5: Solve for x
    x = 612,980.45/1,042.14
  6. Step 6: Final answer
    x = 588.19

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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.