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Finding the Fourth Proportional to 781.41, 1,078.34 and 432.09

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Solution

The fourth proportional to 781.41, 1,078.34 and 432.09 is: 596.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.41 : 1,078.34 = 432.09 : x
  2. Step 2: Convert to fraction form
    781.41/1,078.34 = 432.09/x
  3. Step 3: Cross multiply
    781.41x = 1,078.34 × 432.09
  4. Step 4: Simplify right side
    781.41x = 465,937.77
  5. Step 5: Solve for x
    x = 465,937.77/781.41
  6. Step 6: Final answer
    x = 596.28

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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.