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Finding the Fourth Proportional to 963.68, 1,445.14 and 378.57

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Solution

The fourth proportional to 963.68, 1,445.14 and 378.57 is: 567.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.68 : 1,445.14 = 378.57 : x
  2. Step 2: Convert to fraction form
    963.68/1,445.14 = 378.57/x
  3. Step 3: Cross multiply
    963.68x = 1,445.14 × 378.57
  4. Step 4: Simplify right side
    963.68x = 547,086.65
  5. Step 5: Solve for x
    x = 547,086.65/963.68
  6. Step 6: Final answer
    x = 567.71

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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.