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Finding the Fourth Proportional to 853.01, 1,279.94 and 462.59

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Solution

The fourth proportional to 853.01, 1,279.94 and 462.59 is: 694.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.01 : 1,279.94 = 462.59 : x
  2. Step 2: Convert to fraction form
    853.01/1,279.94 = 462.59/x
  3. Step 3: Cross multiply
    853.01x = 1,279.94 × 462.59
  4. Step 4: Simplify right side
    853.01x = 592,078.73
  5. Step 5: Solve for x
    x = 592,078.73/853.01
  6. Step 6: Final answer
    x = 694.11

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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.