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Finding the Fourth Proportional to 781.05, 1,077.82 and 519.54

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Solution

The fourth proportional to 781.05, 1,077.82 and 519.54 is: 716.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.05 : 1,077.82 = 519.54 : x
  2. Step 2: Convert to fraction form
    781.05/1,077.82 = 519.54/x
  3. Step 3: Cross multiply
    781.05x = 1,077.82 × 519.54
  4. Step 4: Simplify right side
    781.05x = 559,970.60
  5. Step 5: Solve for x
    x = 559,970.60/781.05
  6. Step 6: Final answer
    x = 716.95

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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.