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Finding the Fourth Proportional to 963.39, 1,433.57 and 960.15

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Solution

The fourth proportional to 963.39, 1,433.57 and 960.15 is: 1,428.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.39 : 1,433.57 = 960.15 : x
  2. Step 2: Convert to fraction form
    963.39/1,433.57 = 960.15/x
  3. Step 3: Cross multiply
    963.39x = 1,433.57 × 960.15
  4. Step 4: Simplify right side
    963.39x = 1,376,437.43
  5. Step 5: Solve for x
    x = 1,376,437.43/963.39
  6. Step 6: Final answer
    x = 1,428.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.