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Finding the Fourth Proportional to 1,102.08, 1,650.96 and 844.32

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Solution

The fourth proportional to 1,102.08, 1,650.96 and 844.32 is: 1,264.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.08 : 1,650.96 = 844.32 : x
  2. Step 2: Convert to fraction form
    1,102.08/1,650.96 = 844.32/x
  3. Step 3: Cross multiply
    1,102.08x = 1,650.96 × 844.32
  4. Step 4: Simplify right side
    1,102.08x = 1,393,938.55
  5. Step 5: Solve for x
    x = 1,393,938.55/1,102.08
  6. Step 6: Final answer
    x = 1,264.83

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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.