Home / 1,025.38-1,414.98-583.23

Finding the Fourth Proportional to 1,025.38, 1,414.98 and 583.23

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Solution

The fourth proportional to 1,025.38, 1,414.98 and 583.23 is: 804.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.38 : 1,414.98 = 583.23 : x
  2. Step 2: Convert to fraction form
    1,025.38/1,414.98 = 583.23/x
  3. Step 3: Cross multiply
    1,025.38x = 1,414.98 × 583.23
  4. Step 4: Simplify right side
    1,025.38x = 825,258.79
  5. Step 5: Solve for x
    x = 825,258.79/1,025.38
  6. Step 6: Final answer
    x = 804.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.