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Finding the Fourth Proportional to 772.38, 1,159.09 and 425.97

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Solution

The fourth proportional to 772.38, 1,159.09 and 425.97 is: 639.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.38 : 1,159.09 = 425.97 : x
  2. Step 2: Convert to fraction form
    772.38/1,159.09 = 425.97/x
  3. Step 3: Cross multiply
    772.38x = 1,159.09 × 425.97
  4. Step 4: Simplify right side
    772.38x = 493,736.50
  5. Step 5: Solve for x
    x = 493,736.50/772.38
  6. Step 6: Final answer
    x = 639.24

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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.