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Finding the Fourth Proportional to 1,125.69, 1,553.43 and 628.30

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Solution

The fourth proportional to 1,125.69, 1,553.43 and 628.30 is: 867.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.69 : 1,553.43 = 628.30 : x
  2. Step 2: Convert to fraction form
    1,125.69/1,553.43 = 628.30/x
  3. Step 3: Cross multiply
    1,125.69x = 1,553.43 × 628.30
  4. Step 4: Simplify right side
    1,125.69x = 976,016.93
  5. Step 5: Solve for x
    x = 976,016.93/1,125.69
  6. Step 6: Final answer
    x = 867.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.