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Finding the Fourth Proportional to 520.78, 781.11 and 136.06

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Solution

The fourth proportional to 520.78, 781.11 and 136.06 is: 204.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.78 : 781.11 = 136.06 : x
  2. Step 2: Convert to fraction form
    520.78/781.11 = 136.06/x
  3. Step 3: Cross multiply
    520.78x = 781.11 × 136.06
  4. Step 4: Simplify right side
    520.78x = 106,277.83
  5. Step 5: Solve for x
    x = 106,277.83/520.78
  6. Step 6: Final answer
    x = 204.07

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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.