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Finding the Fourth Proportional to 1,279.75, 1,758.40 and 1,017.31

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Solution

The fourth proportional to 1,279.75, 1,758.40 and 1,017.31 is: 1,397.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.75 : 1,758.40 = 1,017.31 : x
  2. Step 2: Convert to fraction form
    1,279.75/1,758.40 = 1,017.31/x
  3. Step 3: Cross multiply
    1,279.75x = 1,758.40 × 1,017.31
  4. Step 4: Simplify right side
    1,279.75x = 1,788,834.26
  5. Step 5: Solve for x
    x = 1,788,834.26/1,279.75
  6. Step 6: Final answer
    x = 1,397.80

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.