Home / 1,025.22-1,414.86-583.23

Finding the Fourth Proportional to 1,025.22, 1,414.86 and 583.23

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Solution

The fourth proportional to 1,025.22, 1,414.86 and 583.23 is: 804.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.22 : 1,414.86 = 583.23 : x
  2. Step 2: Convert to fraction form
    1,025.22/1,414.86 = 583.23/x
  3. Step 3: Cross multiply
    1,025.22x = 1,414.86 × 583.23
  4. Step 4: Simplify right side
    1,025.22x = 825,188.80
  5. Step 5: Solve for x
    x = 825,188.80/1,025.22
  6. Step 6: Final answer
    x = 804.89

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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.