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Finding the Fourth Proportional to 748.98, 1,033.67 and 624.42

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Solution

The fourth proportional to 748.98, 1,033.67 and 624.42 is: 861.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.98 : 1,033.67 = 624.42 : x
  2. Step 2: Convert to fraction form
    748.98/1,033.67 = 624.42/x
  3. Step 3: Cross multiply
    748.98x = 1,033.67 × 624.42
  4. Step 4: Simplify right side
    748.98x = 645,441.10
  5. Step 5: Solve for x
    x = 645,441.10/748.98
  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.