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Finding the Fourth Proportional to 1,177.26, 1,766.27 and 709.25

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Solution

The fourth proportional to 1,177.26, 1,766.27 and 709.25 is: 1,064.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.26 : 1,766.27 = 709.25 : x
  2. Step 2: Convert to fraction form
    1,177.26/1,766.27 = 709.25/x
  3. Step 3: Cross multiply
    1,177.26x = 1,766.27 × 709.25
  4. Step 4: Simplify right side
    1,177.26x = 1,252,714.62
  5. Step 5: Solve for x
    x = 1,252,714.62/1,177.26
  6. Step 6: Final answer
    x = 1,064.09

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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.