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Finding the Fourth Proportional to 1,178.42, 1,766.96 and 447.54

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Solution

The fourth proportional to 1,178.42, 1,766.96 and 447.54 is: 671.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.42 : 1,766.96 = 447.54 : x
  2. Step 2: Convert to fraction form
    1,178.42/1,766.96 = 447.54/x
  3. Step 3: Cross multiply
    1,178.42x = 1,766.96 × 447.54
  4. Step 4: Simplify right side
    1,178.42x = 790,785.28
  5. Step 5: Solve for x
    x = 790,785.28/1,178.42
  6. Step 6: Final answer
    x = 671.06

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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.