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Finding the Fourth Proportional to 1,089.91, 1,634.85 and 268.17

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Solution

The fourth proportional to 1,089.91, 1,634.85 and 268.17 is: 402.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.91 : 1,634.85 = 268.17 : x
  2. Step 2: Convert to fraction form
    1,089.91/1,634.85 = 268.17/x
  3. Step 3: Cross multiply
    1,089.91x = 1,634.85 × 268.17
  4. Step 4: Simplify right side
    1,089.91x = 438,416.38
  5. Step 5: Solve for x
    x = 438,416.38/1,089.91
  6. Step 6: Final answer
    x = 402.25

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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.