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Finding the Fourth Proportional to 1,121.82, 1,548.07 and 624.48

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Solution

The fourth proportional to 1,121.82, 1,548.07 and 624.48 is: 861.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.82 : 1,548.07 = 624.48 : x
  2. Step 2: Convert to fraction form
    1,121.82/1,548.07 = 624.48/x
  3. Step 3: Cross multiply
    1,121.82x = 1,548.07 × 624.48
  4. Step 4: Simplify right side
    1,121.82x = 966,738.75
  5. Step 5: Solve for x
    x = 966,738.75/1,121.82
  6. Step 6: Final answer
    x = 861.76

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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.