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Finding the Fourth Proportional to 1,194.73, 1,648.23 and 862.42

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Solution

The fourth proportional to 1,194.73, 1,648.23 and 862.42 is: 1,189.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.73 : 1,648.23 = 862.42 : x
  2. Step 2: Convert to fraction form
    1,194.73/1,648.23 = 862.42/x
  3. Step 3: Cross multiply
    1,194.73x = 1,648.23 × 862.42
  4. Step 4: Simplify right side
    1,194.73x = 1,421,466.52
  5. Step 5: Solve for x
    x = 1,421,466.52/1,194.73
  6. Step 6: Final answer
    x = 1,189.78

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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.