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Finding the Fourth Proportional to 925.83, 1,380.71 and 789.75

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Solution

The fourth proportional to 925.83, 1,380.71 and 789.75 is: 1,177.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.83 : 1,380.71 = 789.75 : x
  2. Step 2: Convert to fraction form
    925.83/1,380.71 = 789.75/x
  3. Step 3: Cross multiply
    925.83x = 1,380.71 × 789.75
  4. Step 4: Simplify right side
    925.83x = 1,090,417.70
  5. Step 5: Solve for x
    x = 1,090,417.70/925.83
  6. Step 6: Final answer
    x = 1,177.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.