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Finding the Fourth Proportional to 1,111.59, 1,665.90 and 865.09

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Solution

The fourth proportional to 1,111.59, 1,665.90 and 865.09 is: 1,296.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.59 : 1,665.90 = 865.09 : x
  2. Step 2: Convert to fraction form
    1,111.59/1,665.90 = 865.09/x
  3. Step 3: Cross multiply
    1,111.59x = 1,665.90 × 865.09
  4. Step 4: Simplify right side
    1,111.59x = 1,441,153.43
  5. Step 5: Solve for x
    x = 1,441,153.43/1,111.59
  6. Step 6: Final answer
    x = 1,296.48

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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.