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Finding the Fourth Proportional to 967.04, 1,449.87 and 498.78

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Solution

The fourth proportional to 967.04, 1,449.87 and 498.78 is: 747.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.04 : 1,449.87 = 498.78 : x
  2. Step 2: Convert to fraction form
    967.04/1,449.87 = 498.78/x
  3. Step 3: Cross multiply
    967.04x = 1,449.87 × 498.78
  4. Step 4: Simplify right side
    967.04x = 723,166.16
  5. Step 5: Solve for x
    x = 723,166.16/967.04
  6. Step 6: Final answer
    x = 747.82

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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.