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Finding the Fourth Proportional to 987.60, 1,481.40 and 825.60

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Solution

The fourth proportional to 987.60, 1,481.40 and 825.60 is: 1,238.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.60 : 1,481.40 = 825.60 : x
  2. Step 2: Convert to fraction form
    987.60/1,481.40 = 825.60/x
  3. Step 3: Cross multiply
    987.60x = 1,481.40 × 825.60
  4. Step 4: Simplify right side
    987.60x = 1,223,043.84
  5. Step 5: Solve for x
    x = 1,223,043.84/987.60
  6. Step 6: Final answer
    x = 1,238.40

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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.