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Finding the Fourth Proportional to 853.64, 1,279.72 and 708.60

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Solution

The fourth proportional to 853.64, 1,279.72 and 708.60 is: 1,062.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.64 : 1,279.72 = 708.60 : x
  2. Step 2: Convert to fraction form
    853.64/1,279.72 = 708.60/x
  3. Step 3: Cross multiply
    853.64x = 1,279.72 × 708.60
  4. Step 4: Simplify right side
    853.64x = 906,809.59
  5. Step 5: Solve for x
    x = 906,809.59/853.64
  6. Step 6: Final answer
    x = 1,062.29

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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.