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Finding the Fourth Proportional to 1,217.20, 1,681.68 and 869.44

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Solution

The fourth proportional to 1,217.20, 1,681.68 and 869.44 is: 1,201.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.20 : 1,681.68 = 869.44 : x
  2. Step 2: Convert to fraction form
    1,217.20/1,681.68 = 869.44/x
  3. Step 3: Cross multiply
    1,217.20x = 1,681.68 × 869.44
  4. Step 4: Simplify right side
    1,217.20x = 1,462,119.86
  5. Step 5: Solve for x
    x = 1,462,119.86/1,217.20
  6. Step 6: Final answer
    x = 1,201.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.