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Finding the Fourth Proportional to 1,040.20, 1,567.44 and 861.58

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Solution

The fourth proportional to 1,040.20, 1,567.44 and 861.58 is: 1,298.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.20 : 1,567.44 = 861.58 : x
  2. Step 2: Convert to fraction form
    1,040.20/1,567.44 = 861.58/x
  3. Step 3: Cross multiply
    1,040.20x = 1,567.44 × 861.58
  4. Step 4: Simplify right side
    1,040.20x = 1,350,474.96
  5. Step 5: Solve for x
    x = 1,350,474.96/1,040.20
  6. Step 6: Final answer
    x = 1,298.28

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.