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Finding the Fourth Proportional to 1,420.56, 1,959.78 and 861.06

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Solution

The fourth proportional to 1,420.56, 1,959.78 and 861.06 is: 1,187.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.56 : 1,959.78 = 861.06 : x
  2. Step 2: Convert to fraction form
    1,420.56/1,959.78 = 861.06/x
  3. Step 3: Cross multiply
    1,420.56x = 1,959.78 × 861.06
  4. Step 4: Simplify right side
    1,420.56x = 1,687,488.17
  5. Step 5: Solve for x
    x = 1,687,488.17/1,420.56
  6. Step 6: Final answer
    x = 1,187.90

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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.