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Finding the Fourth Proportional to 1,016.58, 1,400.85 and 861.06

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Solution

The fourth proportional to 1,016.58, 1,400.85 and 861.06 is: 1,186.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.58 : 1,400.85 = 861.06 : x
  2. Step 2: Convert to fraction form
    1,016.58/1,400.85 = 861.06/x
  3. Step 3: Cross multiply
    1,016.58x = 1,400.85 × 861.06
  4. Step 4: Simplify right side
    1,016.58x = 1,206,215.90
  5. Step 5: Solve for x
    x = 1,206,215.90/1,016.58
  6. Step 6: Final answer
    x = 1,186.54

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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.