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Finding the Fourth Proportional to 963.20, 1,445.18 and 313.94

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Solution

The fourth proportional to 963.20, 1,445.18 and 313.94 is: 471.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.20 : 1,445.18 = 313.94 : x
  2. Step 2: Convert to fraction form
    963.20/1,445.18 = 313.94/x
  3. Step 3: Cross multiply
    963.20x = 1,445.18 × 313.94
  4. Step 4: Simplify right side
    963.20x = 453,691.01
  5. Step 5: Solve for x
    x = 453,691.01/963.20
  6. Step 6: Final answer
    x = 471.03

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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.