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Finding the Fourth Proportional to 1,125.82, 1,553.74 and 628.48

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Solution

The fourth proportional to 1,125.82, 1,553.74 and 628.48 is: 867.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.82 : 1,553.74 = 628.48 : x
  2. Step 2: Convert to fraction form
    1,125.82/1,553.74 = 628.48/x
  3. Step 3: Cross multiply
    1,125.82x = 1,553.74 × 628.48
  4. Step 4: Simplify right side
    1,125.82x = 976,494.52
  5. Step 5: Solve for x
    x = 976,494.52/1,125.82
  6. Step 6: Final answer
    x = 867.36

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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.