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Finding the Fourth Proportional to 1,002.60, 1,500.25 and 827.64

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Solution

The fourth proportional to 1,002.60, 1,500.25 and 827.64 is: 1,238.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.60 : 1,500.25 = 827.64 : x
  2. Step 2: Convert to fraction form
    1,002.60/1,500.25 = 827.64/x
  3. Step 3: Cross multiply
    1,002.60x = 1,500.25 × 827.64
  4. Step 4: Simplify right side
    1,002.60x = 1,241,657.34
  5. Step 5: Solve for x
    x = 1,241,657.34/1,002.60
  6. Step 6: Final answer
    x = 1,238.44

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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.