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Finding the Fourth Proportional to 854.46, 1,279.87 and 833.81

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Solution

The fourth proportional to 854.46, 1,279.87 and 833.81 is: 1,248.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.46 : 1,279.87 = 833.81 : x
  2. Step 2: Convert to fraction form
    854.46/1,279.87 = 833.81/x
  3. Step 3: Cross multiply
    854.46x = 1,279.87 × 833.81
  4. Step 4: Simplify right side
    854.46x = 1,067,159.92
  5. Step 5: Solve for x
    x = 1,067,159.92/854.46
  6. Step 6: Final answer
    x = 1,248.93

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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.