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Finding the Fourth Proportional to 1,279.55, 1,765.86 and 712.42

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Solution

The fourth proportional to 1,279.55, 1,765.86 and 712.42 is: 983.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.55 : 1,765.86 = 712.42 : x
  2. Step 2: Convert to fraction form
    1,279.55/1,765.86 = 712.42/x
  3. Step 3: Cross multiply
    1,279.55x = 1,765.86 × 712.42
  4. Step 4: Simplify right side
    1,279.55x = 1,258,033.98
  5. Step 5: Solve for x
    x = 1,258,033.98/1,279.55
  6. Step 6: Final answer
    x = 983.18

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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.