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Finding the Fourth Proportional to 1,036.28, 1,425.56 and 909.65

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Solution

The fourth proportional to 1,036.28, 1,425.56 and 909.65 is: 1,251.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.28 : 1,425.56 = 909.65 : x
  2. Step 2: Convert to fraction form
    1,036.28/1,425.56 = 909.65/x
  3. Step 3: Cross multiply
    1,036.28x = 1,425.56 × 909.65
  4. Step 4: Simplify right side
    1,036.28x = 1,296,759.67
  5. Step 5: Solve for x
    x = 1,296,759.67/1,036.28
  6. Step 6: Final answer
    x = 1,251.36

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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.