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Finding the Fourth Proportional to 967.92, 1,452.18 and 318.74

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Solution

The fourth proportional to 967.92, 1,452.18 and 318.74 is: 478.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.92 : 1,452.18 = 318.74 : x
  2. Step 2: Convert to fraction form
    967.92/1,452.18 = 318.74/x
  3. Step 3: Cross multiply
    967.92x = 1,452.18 × 318.74
  4. Step 4: Simplify right side
    967.92x = 462,867.85
  5. Step 5: Solve for x
    x = 462,867.85/967.92
  6. Step 6: Final answer
    x = 478.21

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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.