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Finding the Fourth Proportional to 854.44, 1,281.65 and 611.44

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Solution

The fourth proportional to 854.44, 1,281.65 and 611.44 is: 917.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.44 : 1,281.65 = 611.44 : x
  2. Step 2: Convert to fraction form
    854.44/1,281.65 = 611.44/x
  3. Step 3: Cross multiply
    854.44x = 1,281.65 × 611.44
  4. Step 4: Simplify right side
    854.44x = 783,645.67
  5. Step 5: Solve for x
    x = 783,645.67/854.44
  6. Step 6: Final answer
    x = 917.15

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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.