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Finding the Fourth Proportional to 1,040.15, 1,558.95 and 892.87

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Solution

The fourth proportional to 1,040.15, 1,558.95 and 892.87 is: 1,338.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.15 : 1,558.95 = 892.87 : x
  2. Step 2: Convert to fraction form
    1,040.15/1,558.95 = 892.87/x
  3. Step 3: Cross multiply
    1,040.15x = 1,558.95 × 892.87
  4. Step 4: Simplify right side
    1,040.15x = 1,391,932.44
  5. Step 5: Solve for x
    x = 1,391,932.44/1,040.15
  6. Step 6: Final answer
    x = 1,338.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.