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Finding the Fourth Proportional to 1,040.78, 1,434.92 and 863.10

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Solution

The fourth proportional to 1,040.78, 1,434.92 and 863.10 is: 1,189.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.78 : 1,434.92 = 863.10 : x
  2. Step 2: Convert to fraction form
    1,040.78/1,434.92 = 863.10/x
  3. Step 3: Cross multiply
    1,040.78x = 1,434.92 × 863.10
  4. Step 4: Simplify right side
    1,040.78x = 1,238,479.45
  5. Step 5: Solve for x
    x = 1,238,479.45/1,040.78
  6. Step 6: Final answer
    x = 1,189.95

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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.