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Finding the Fourth Proportional to 854.27, 1,177.65 and 735.73

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Solution

The fourth proportional to 854.27, 1,177.65 and 735.73 is: 1,014.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.27 : 1,177.65 = 735.73 : x
  2. Step 2: Convert to fraction form
    854.27/1,177.65 = 735.73/x
  3. Step 3: Cross multiply
    854.27x = 1,177.65 × 735.73
  4. Step 4: Simplify right side
    854.27x = 866,422.87
  5. Step 5: Solve for x
    x = 866,422.87/854.27
  6. Step 6: Final answer
    x = 1,014.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.