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Finding the Fourth Proportional to 945.87, 1,306.29 and 842.79

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Solution

The fourth proportional to 945.87, 1,306.29 and 842.79 is: 1,163.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.87 : 1,306.29 = 842.79 : x
  2. Step 2: Convert to fraction form
    945.87/1,306.29 = 842.79/x
  3. Step 3: Cross multiply
    945.87x = 1,306.29 × 842.79
  4. Step 4: Simplify right side
    945.87x = 1,100,928.15
  5. Step 5: Solve for x
    x = 1,100,928.15/945.87
  6. Step 6: Final answer
    x = 1,163.93

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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.