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Finding the Fourth Proportional to 1,125.88, 1,553.82 and 628.56

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Solution

The fourth proportional to 1,125.88, 1,553.82 and 628.56 is: 867.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.88 : 1,553.82 = 628.56 : x
  2. Step 2: Convert to fraction form
    1,125.88/1,553.82 = 628.56/x
  3. Step 3: Cross multiply
    1,125.88x = 1,553.82 × 628.56
  4. Step 4: Simplify right side
    1,125.88x = 976,669.10
  5. Step 5: Solve for x
    x = 976,669.10/1,125.88
  6. Step 6: Final answer
    x = 867.47

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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.