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Finding the Fourth Proportional to 757.09, 1,044.78 and 425.50

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Solution

The fourth proportional to 757.09, 1,044.78 and 425.50 is: 587.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.09 : 1,044.78 = 425.50 : x
  2. Step 2: Convert to fraction form
    757.09/1,044.78 = 425.50/x
  3. Step 3: Cross multiply
    757.09x = 1,044.78 × 425.50
  4. Step 4: Simplify right side
    757.09x = 444,553.89
  5. Step 5: Solve for x
    x = 444,553.89/757.09
  6. Step 6: Final answer
    x = 587.19

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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.