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Finding the Fourth Proportional to 854.90, 1,279.65 and 611.90

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Solution

The fourth proportional to 854.90, 1,279.65 and 611.90 is: 915.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.90 : 1,279.65 = 611.90 : x
  2. Step 2: Convert to fraction form
    854.90/1,279.65 = 611.90/x
  3. Step 3: Cross multiply
    854.90x = 1,279.65 × 611.90
  4. Step 4: Simplify right side
    854.90x = 783,017.84
  5. Step 5: Solve for x
    x = 783,017.84/854.90
  6. Step 6: Final answer
    x = 915.92

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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.