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Finding the Fourth Proportional to 963.14, 1,445.12 and 616.86

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Solution

The fourth proportional to 963.14, 1,445.12 and 616.86 is: 925.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.14 : 1,445.12 = 616.86 : x
  2. Step 2: Convert to fraction form
    963.14/1,445.12 = 616.86/x
  3. Step 3: Cross multiply
    963.14x = 1,445.12 × 616.86
  4. Step 4: Simplify right side
    963.14x = 891,433.64
  5. Step 5: Solve for x
    x = 891,433.64/963.14
  6. Step 6: Final answer
    x = 925.55

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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.