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Finding the Fourth Proportional to 1,192.78, 1,645.32 and 861.94

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Solution

The fourth proportional to 1,192.78, 1,645.32 and 861.94 is: 1,188.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.78 : 1,645.32 = 861.94 : x
  2. Step 2: Convert to fraction form
    1,192.78/1,645.32 = 861.94/x
  3. Step 3: Cross multiply
    1,192.78x = 1,645.32 × 861.94
  4. Step 4: Simplify right side
    1,192.78x = 1,418,167.12
  5. Step 5: Solve for x
    x = 1,418,167.12/1,192.78
  6. Step 6: Final answer
    x = 1,188.96

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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.