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Finding the Fourth Proportional to 1,121.80, 1,548.18 and 624.54

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Solution

The fourth proportional to 1,121.80, 1,548.18 and 624.54 is: 861.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.80 : 1,548.18 = 624.54 : x
  2. Step 2: Convert to fraction form
    1,121.80/1,548.18 = 624.54/x
  3. Step 3: Cross multiply
    1,121.80x = 1,548.18 × 624.54
  4. Step 4: Simplify right side
    1,121.80x = 966,900.34
  5. Step 5: Solve for x
    x = 966,900.34/1,121.80
  6. Step 6: Final answer
    x = 861.92

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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.