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Finding the Fourth Proportional to 1,097.14, 1,643.88 and 867.52

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Solution

The fourth proportional to 1,097.14, 1,643.88 and 867.52 is: 1,299.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.14 : 1,643.88 = 867.52 : x
  2. Step 2: Convert to fraction form
    1,097.14/1,643.88 = 867.52/x
  3. Step 3: Cross multiply
    1,097.14x = 1,643.88 × 867.52
  4. Step 4: Simplify right side
    1,097.14x = 1,426,098.78
  5. Step 5: Solve for x
    x = 1,426,098.78/1,097.14
  6. Step 6: Final answer
    x = 1,299.83

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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.