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Finding the Fourth Proportional to 963.87, 1,330.14 and 565.43

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Solution

The fourth proportional to 963.87, 1,330.14 and 565.43 is: 780.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.87 : 1,330.14 = 565.43 : x
  2. Step 2: Convert to fraction form
    963.87/1,330.14 = 565.43/x
  3. Step 3: Cross multiply
    963.87x = 1,330.14 × 565.43
  4. Step 4: Simplify right side
    963.87x = 752,096.53
  5. Step 5: Solve for x
    x = 752,096.53/963.87
  6. Step 6: Final answer
    x = 780.29

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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.