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Finding the Fourth Proportional to 854.55, 1,279.80 and 837.14

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Solution

The fourth proportional to 854.55, 1,279.80 and 837.14 is: 1,253.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.55 : 1,279.80 = 837.14 : x
  2. Step 2: Convert to fraction form
    854.55/1,279.80 = 837.14/x
  3. Step 3: Cross multiply
    854.55x = 1,279.80 × 837.14
  4. Step 4: Simplify right side
    854.55x = 1,071,365.37
  5. Step 5: Solve for x
    x = 1,071,365.37/854.55
  6. Step 6: Final answer
    x = 1,253.72

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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.