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Finding the Fourth Proportional to 781.61, 1,077.35 and 529.45

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Solution

The fourth proportional to 781.61, 1,077.35 and 529.45 is: 729.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.61 : 1,077.35 = 529.45 : x
  2. Step 2: Convert to fraction form
    781.61/1,077.35 = 529.45/x
  3. Step 3: Cross multiply
    781.61x = 1,077.35 × 529.45
  4. Step 4: Simplify right side
    781.61x = 570,401.59
  5. Step 5: Solve for x
    x = 570,401.59/781.61
  6. Step 6: Final answer
    x = 729.78

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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.