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Finding the Fourth Proportional to 1,102.97, 1,651.26 and 830.18

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Solution

The fourth proportional to 1,102.97, 1,651.26 and 830.18 is: 1,242.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.97 : 1,651.26 = 830.18 : x
  2. Step 2: Convert to fraction form
    1,102.97/1,651.26 = 830.18/x
  3. Step 3: Cross multiply
    1,102.97x = 1,651.26 × 830.18
  4. Step 4: Simplify right side
    1,102.97x = 1,370,843.03
  5. Step 5: Solve for x
    x = 1,370,843.03/1,102.97
  6. Step 6: Final answer
    x = 1,242.87

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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.