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Finding the Fourth Proportional to 1,125.80, 1,553.61 and 628.44

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Solution

The fourth proportional to 1,125.80, 1,553.61 and 628.44 is: 867.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.80 : 1,553.61 = 628.44 : x
  2. Step 2: Convert to fraction form
    1,125.80/1,553.61 = 628.44/x
  3. Step 3: Cross multiply
    1,125.80x = 1,553.61 × 628.44
  4. Step 4: Simplify right side
    1,125.80x = 976,350.67
  5. Step 5: Solve for x
    x = 976,350.67/1,125.80
  6. Step 6: Final answer
    x = 867.25

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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.