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Finding the Fourth Proportional to 922.68, 1,381.19 and 791.46

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Solution

The fourth proportional to 922.68, 1,381.19 and 791.46 is: 1,184.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.68 : 1,381.19 = 791.46 : x
  2. Step 2: Convert to fraction form
    922.68/1,381.19 = 791.46/x
  3. Step 3: Cross multiply
    922.68x = 1,381.19 × 791.46
  4. Step 4: Simplify right side
    922.68x = 1,093,152.68
  5. Step 5: Solve for x
    x = 1,093,152.68/922.68
  6. Step 6: Final answer
    x = 1,184.76

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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.