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Finding the Fourth Proportional to 1,001.75, 1,382.73 and 815.09

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Solution

The fourth proportional to 1,001.75, 1,382.73 and 815.09 is: 1,125.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.75 : 1,382.73 = 815.09 : x
  2. Step 2: Convert to fraction form
    1,001.75/1,382.73 = 815.09/x
  3. Step 3: Cross multiply
    1,001.75x = 1,382.73 × 815.09
  4. Step 4: Simplify right side
    1,001.75x = 1,127,049.40
  5. Step 5: Solve for x
    x = 1,127,049.40/1,001.75
  6. Step 6: Final answer
    x = 1,125.08

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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.