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Finding the Fourth Proportional to 967.19, 1,449.99 and 479.97

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Solution

The fourth proportional to 967.19, 1,449.99 and 479.97 is: 719.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.19 : 1,449.99 = 479.97 : x
  2. Step 2: Convert to fraction form
    967.19/1,449.99 = 479.97/x
  3. Step 3: Cross multiply
    967.19x = 1,449.99 × 479.97
  4. Step 4: Simplify right side
    967.19x = 695,951.70
  5. Step 5: Solve for x
    x = 695,951.70/967.19
  6. Step 6: Final answer
    x = 719.56

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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.