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Finding the Fourth Proportional to 853.74, 1,279.56 and 463.95

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Solution

The fourth proportional to 853.74, 1,279.56 and 463.95 is: 695.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.74 : 1,279.56 = 463.95 : x
  2. Step 2: Convert to fraction form
    853.74/1,279.56 = 463.95/x
  3. Step 3: Cross multiply
    853.74x = 1,279.56 × 463.95
  4. Step 4: Simplify right side
    853.74x = 593,651.86
  5. Step 5: Solve for x
    x = 593,651.86/853.74
  6. Step 6: Final answer
    x = 695.35

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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.