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Finding the Fourth Proportional to 963.62, 1,445.55 and 314.13

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Solution

The fourth proportional to 963.62, 1,445.55 and 314.13 is: 471.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.62 : 1,445.55 = 314.13 : x
  2. Step 2: Convert to fraction form
    963.62/1,445.55 = 314.13/x
  3. Step 3: Cross multiply
    963.62x = 1,445.55 × 314.13
  4. Step 4: Simplify right side
    963.62x = 454,090.62
  5. Step 5: Solve for x
    x = 454,090.62/963.62
  6. Step 6: Final answer
    x = 471.24

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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.