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Finding the Fourth Proportional to 1,125.48, 1,553.21 and 628.11

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Solution

The fourth proportional to 1,125.48, 1,553.21 and 628.11 is: 866.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.48 : 1,553.21 = 628.11 : x
  2. Step 2: Convert to fraction form
    1,125.48/1,553.21 = 628.11/x
  3. Step 3: Cross multiply
    1,125.48x = 1,553.21 × 628.11
  4. Step 4: Simplify right side
    1,125.48x = 975,586.73
  5. Step 5: Solve for x
    x = 975,586.73/1,125.48
  6. Step 6: Final answer
    x = 866.82

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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.