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Finding the Fourth Proportional to 1,125.05, 1,553.97 and 794.95

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Solution

The fourth proportional to 1,125.05, 1,553.97 and 794.95 is: 1,098.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.05 : 1,553.97 = 794.95 : x
  2. Step 2: Convert to fraction form
    1,125.05/1,553.97 = 794.95/x
  3. Step 3: Cross multiply
    1,125.05x = 1,553.97 × 794.95
  4. Step 4: Simplify right side
    1,125.05x = 1,235,327.96
  5. Step 5: Solve for x
    x = 1,235,327.96/1,125.05
  6. Step 6: Final answer
    x = 1,098.02

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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.