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Finding the Fourth Proportional to 757.07, 1,044.76 and 425.61

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Solution

The fourth proportional to 757.07, 1,044.76 and 425.61 is: 587.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.07 : 1,044.76 = 425.61 : x
  2. Step 2: Convert to fraction form
    757.07/1,044.76 = 425.61/x
  3. Step 3: Cross multiply
    757.07x = 1,044.76 × 425.61
  4. Step 4: Simplify right side
    757.07x = 444,660.30
  5. Step 5: Solve for x
    x = 444,660.30/757.07
  6. Step 6: Final answer
    x = 587.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.