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Finding the Fourth Proportional to 1,025.48, 1,414.91 and 577.22

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Solution

The fourth proportional to 1,025.48, 1,414.91 and 577.22 is: 796.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.48 : 1,414.91 = 577.22 : x
  2. Step 2: Convert to fraction form
    1,025.48/1,414.91 = 577.22/x
  3. Step 3: Cross multiply
    1,025.48x = 1,414.91 × 577.22
  4. Step 4: Simplify right side
    1,025.48x = 816,704.39
  5. Step 5: Solve for x
    x = 816,704.39/1,025.48
  6. Step 6: Final answer
    x = 796.42

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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.