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Finding the Fourth Proportional to 1,178.42, 1,766.25 and 691.79

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Solution

The fourth proportional to 1,178.42, 1,766.25 and 691.79 is: 1,036.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.42 : 1,766.25 = 691.79 : x
  2. Step 2: Convert to fraction form
    1,178.42/1,766.25 = 691.79/x
  3. Step 3: Cross multiply
    1,178.42x = 1,766.25 × 691.79
  4. Step 4: Simplify right side
    1,178.42x = 1,221,865.26
  5. Step 5: Solve for x
    x = 1,221,865.26/1,178.42
  6. Step 6: Final answer
    x = 1,036.87

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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.