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Finding the Fourth Proportional to 596.67, 896.09 and 520.17

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Solution

The fourth proportional to 596.67, 896.09 and 520.17 is: 781.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.67 : 896.09 = 520.17 : x
  2. Step 2: Convert to fraction form
    596.67/896.09 = 520.17/x
  3. Step 3: Cross multiply
    596.67x = 896.09 × 520.17
  4. Step 4: Simplify right side
    596.67x = 466,116.53
  5. Step 5: Solve for x
    x = 466,116.53/596.67
  6. Step 6: Final answer
    x = 781.20

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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.