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Finding the Fourth Proportional to 949.67, 1,422.53 and 880.46

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Solution

The fourth proportional to 949.67, 1,422.53 and 880.46 is: 1,318.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.67 : 1,422.53 = 880.46 : x
  2. Step 2: Convert to fraction form
    949.67/1,422.53 = 880.46/x
  3. Step 3: Cross multiply
    949.67x = 1,422.53 × 880.46
  4. Step 4: Simplify right side
    949.67x = 1,252,469.25
  5. Step 5: Solve for x
    x = 1,252,469.25/949.67
  6. Step 6: Final answer
    x = 1,318.85

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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.