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Finding the Fourth Proportional to 963.97, 1,445.37 and 314.62

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Solution

The fourth proportional to 963.97, 1,445.37 and 314.62 is: 471.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.97 : 1,445.37 = 314.62 : x
  2. Step 2: Convert to fraction form
    963.97/1,445.37 = 314.62/x
  3. Step 3: Cross multiply
    963.97x = 1,445.37 × 314.62
  4. Step 4: Simplify right side
    963.97x = 454,742.31
  5. Step 5: Solve for x
    x = 454,742.31/963.97
  6. Step 6: Final answer
    x = 471.74

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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.