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Finding the Fourth Proportional to 1,196.12, 1,650.66 and 672.14

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Solution

The fourth proportional to 1,196.12, 1,650.66 and 672.14 is: 927.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.12 : 1,650.66 = 672.14 : x
  2. Step 2: Convert to fraction form
    1,196.12/1,650.66 = 672.14/x
  3. Step 3: Cross multiply
    1,196.12x = 1,650.66 × 672.14
  4. Step 4: Simplify right side
    1,196.12x = 1,109,474.61
  5. Step 5: Solve for x
    x = 1,109,474.61/1,196.12
  6. Step 6: Final answer
    x = 927.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.