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Finding the Fourth Proportional to 967.24, 1,449.06 and 749.80

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Solution

The fourth proportional to 967.24, 1,449.06 and 749.80 is: 1,123.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.24 : 1,449.06 = 749.80 : x
  2. Step 2: Convert to fraction form
    967.24/1,449.06 = 749.80/x
  3. Step 3: Cross multiply
    967.24x = 1,449.06 × 749.80
  4. Step 4: Simplify right side
    967.24x = 1,086,505.19
  5. Step 5: Solve for x
    x = 1,086,505.19/967.24
  6. Step 6: Final answer
    x = 1,123.30

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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.