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Finding the Fourth Proportional to 1,121.98, 1,548.31 and 624.61

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Solution

The fourth proportional to 1,121.98, 1,548.31 and 624.61 is: 861.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.98 : 1,548.31 = 624.61 : x
  2. Step 2: Convert to fraction form
    1,121.98/1,548.31 = 624.61/x
  3. Step 3: Cross multiply
    1,121.98x = 1,548.31 × 624.61
  4. Step 4: Simplify right side
    1,121.98x = 967,089.91
  5. Step 5: Solve for x
    x = 967,089.91/1,121.98
  6. Step 6: Final answer
    x = 861.95

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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.