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Finding the Fourth Proportional to 1,097.76, 1,647.56 and 869.04

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Solution

The fourth proportional to 1,097.76, 1,647.56 and 869.04 is: 1,304.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.76 : 1,647.56 = 869.04 : x
  2. Step 2: Convert to fraction form
    1,097.76/1,647.56 = 869.04/x
  3. Step 3: Cross multiply
    1,097.76x = 1,647.56 × 869.04
  4. Step 4: Simplify right side
    1,097.76x = 1,431,797.72
  5. Step 5: Solve for x
    x = 1,431,797.72/1,097.76
  6. Step 6: Final answer
    x = 1,304.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.