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Finding the Fourth Proportional to 1,025.42, 1,414.92 and 583.22

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Solution

The fourth proportional to 1,025.42, 1,414.92 and 583.22 is: 804.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.42 : 1,414.92 = 583.22 : x
  2. Step 2: Convert to fraction form
    1,025.42/1,414.92 = 583.22/x
  3. Step 3: Cross multiply
    1,025.42x = 1,414.92 × 583.22
  4. Step 4: Simplify right side
    1,025.42x = 825,209.64
  5. Step 5: Solve for x
    x = 825,209.64/1,025.42
  6. Step 6: Final answer
    x = 804.75

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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.