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Finding the Fourth Proportional to 960.20, 1,439.82 and 527

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Solution

The fourth proportional to 960.20, 1,439.82 and 527 is: 790.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.20 : 1,439.82 = 527 : x
  2. Step 2: Convert to fraction form
    960.20/1,439.82 = 527/x
  3. Step 3: Cross multiply
    960.20x = 1,439.82 × 527
  4. Step 4: Simplify right side
    960.20x = 758,785.14
  5. Step 5: Solve for x
    x = 758,785.14/960.20
  6. Step 6: Final answer
    x = 790.24

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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.