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Finding the Fourth Proportional to 843.42, 1,269.68 and 758.65

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Solution

The fourth proportional to 843.42, 1,269.68 and 758.65 is: 1,142.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.42 : 1,269.68 = 758.65 : x
  2. Step 2: Convert to fraction form
    843.42/1,269.68 = 758.65/x
  3. Step 3: Cross multiply
    843.42x = 1,269.68 × 758.65
  4. Step 4: Simplify right side
    843.42x = 963,242.73
  5. Step 5: Solve for x
    x = 963,242.73/843.42
  6. Step 6: Final answer
    x = 1,142.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.