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Finding the Fourth Proportional to 520.98, 781.49 and 130.98

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Solution

The fourth proportional to 520.98, 781.49 and 130.98 is: 196.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.98 : 781.49 = 130.98 : x
  2. Step 2: Convert to fraction form
    520.98/781.49 = 130.98/x
  3. Step 3: Cross multiply
    520.98x = 781.49 × 130.98
  4. Step 4: Simplify right side
    520.98x = 102,358.91
  5. Step 5: Solve for x
    x = 102,358.91/520.98
  6. Step 6: Final answer
    x = 196.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.