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Finding the Fourth Proportional to 1,805.32, 2,706.31 and 709.69

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Solution

The fourth proportional to 1,805.32, 2,706.31 and 709.69 is: 1,063.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.32 : 2,706.31 = 709.69 : x
  2. Step 2: Convert to fraction form
    1,805.32/2,706.31 = 709.69/x
  3. Step 3: Cross multiply
    1,805.32x = 2,706.31 × 709.69
  4. Step 4: Simplify right side
    1,805.32x = 1,920,641.14
  5. Step 5: Solve for x
    x = 1,920,641.14/1,805.32
  6. Step 6: Final answer
    x = 1,063.88

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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.