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Finding the Fourth Proportional to 1,115.76, 1,538.64 and 1,006.36

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Solution

The fourth proportional to 1,115.76, 1,538.64 and 1,006.36 is: 1,387.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.76 : 1,538.64 = 1,006.36 : x
  2. Step 2: Convert to fraction form
    1,115.76/1,538.64 = 1,006.36/x
  3. Step 3: Cross multiply
    1,115.76x = 1,538.64 × 1,006.36
  4. Step 4: Simplify right side
    1,115.76x = 1,548,425.75
  5. Step 5: Solve for x
    x = 1,548,425.75/1,115.76
  6. Step 6: Final answer
    x = 1,387.78

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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.