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Finding the Fourth Proportional to 1,042.13, 1,562.58 and 392.91

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Solution

The fourth proportional to 1,042.13, 1,562.58 and 392.91 is: 589.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.13 : 1,562.58 = 392.91 : x
  2. Step 2: Convert to fraction form
    1,042.13/1,562.58 = 392.91/x
  3. Step 3: Cross multiply
    1,042.13x = 1,562.58 × 392.91
  4. Step 4: Simplify right side
    1,042.13x = 613,953.31
  5. Step 5: Solve for x
    x = 613,953.31/1,042.13
  6. Step 6: Final answer
    x = 589.13

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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.