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Finding the Fourth Proportional to 1,102.28, 1,519.86 and 880.52

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Solution

The fourth proportional to 1,102.28, 1,519.86 and 880.52 is: 1,214.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.28 : 1,519.86 = 880.52 : x
  2. Step 2: Convert to fraction form
    1,102.28/1,519.86 = 880.52/x
  3. Step 3: Cross multiply
    1,102.28x = 1,519.86 × 880.52
  4. Step 4: Simplify right side
    1,102.28x = 1,338,267.13
  5. Step 5: Solve for x
    x = 1,338,267.13/1,102.28
  6. Step 6: Final answer
    x = 1,214.09

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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.