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Finding the Fourth Proportional to 854.05, 1,279.19 and 690.97

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Solution

The fourth proportional to 854.05, 1,279.19 and 690.97 is: 1,034.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.05 : 1,279.19 = 690.97 : x
  2. Step 2: Convert to fraction form
    854.05/1,279.19 = 690.97/x
  3. Step 3: Cross multiply
    854.05x = 1,279.19 × 690.97
  4. Step 4: Simplify right side
    854.05x = 883,878.46
  5. Step 5: Solve for x
    x = 883,878.46/854.05
  6. Step 6: Final answer
    x = 1,034.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.