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Finding the Fourth Proportional to 1,009.62, 1,517.94 and 882.18

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Solution

The fourth proportional to 1,009.62, 1,517.94 and 882.18 is: 1,326.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.62 : 1,517.94 = 882.18 : x
  2. Step 2: Convert to fraction form
    1,009.62/1,517.94 = 882.18/x
  3. Step 3: Cross multiply
    1,009.62x = 1,517.94 × 882.18
  4. Step 4: Simplify right side
    1,009.62x = 1,339,096.31
  5. Step 5: Solve for x
    x = 1,339,096.31/1,009.62
  6. Step 6: Final answer
    x = 1,326.34

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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.