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Finding the Fourth Proportional to 1,125.88, 1,553.76 and 628.50

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Solution

The fourth proportional to 1,125.88, 1,553.76 and 628.50 is: 867.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.88 : 1,553.76 = 628.50 : x
  2. Step 2: Convert to fraction form
    1,125.88/1,553.76 = 628.50/x
  3. Step 3: Cross multiply
    1,125.88x = 1,553.76 × 628.50
  4. Step 4: Simplify right side
    1,125.88x = 976,538.16
  5. Step 5: Solve for x
    x = 976,538.16/1,125.88
  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.