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Finding the Fourth Proportional to 989.56, 1,488.46 and 825.52

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Solution

The fourth proportional to 989.56, 1,488.46 and 825.52 is: 1,241.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.56 : 1,488.46 = 825.52 : x
  2. Step 2: Convert to fraction form
    989.56/1,488.46 = 825.52/x
  3. Step 3: Cross multiply
    989.56x = 1,488.46 × 825.52
  4. Step 4: Simplify right side
    989.56x = 1,228,753.50
  5. Step 5: Solve for x
    x = 1,228,753.50/989.56
  6. Step 6: Final answer
    x = 1,241.72

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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.