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Finding the Fourth Proportional to 781.48, 1,078.56 and 594.66

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Solution

The fourth proportional to 781.48, 1,078.56 and 594.66 is: 820.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.48 : 1,078.56 = 594.66 : x
  2. Step 2: Convert to fraction form
    781.48/1,078.56 = 594.66/x
  3. Step 3: Cross multiply
    781.48x = 1,078.56 × 594.66
  4. Step 4: Simplify right side
    781.48x = 641,376.49
  5. Step 5: Solve for x
    x = 641,376.49/781.48
  6. Step 6: Final answer
    x = 820.72

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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.