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Finding the Fourth Proportional to 817.57, 1,127.55 and 754.39

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Solution

The fourth proportional to 817.57, 1,127.55 and 754.39 is: 1,040.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.57 : 1,127.55 = 754.39 : x
  2. Step 2: Convert to fraction form
    817.57/1,127.55 = 754.39/x
  3. Step 3: Cross multiply
    817.57x = 1,127.55 × 754.39
  4. Step 4: Simplify right side
    817.57x = 850,612.44
  5. Step 5: Solve for x
    x = 850,612.44/817.57
  6. Step 6: Final answer
    x = 1,040.42

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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.