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Finding the Fourth Proportional to 679.78, 1,020.07 and 624.70

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Solution

The fourth proportional to 679.78, 1,020.07 and 624.70 is: 937.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.78 : 1,020.07 = 624.70 : x
  2. Step 2: Convert to fraction form
    679.78/1,020.07 = 624.70/x
  3. Step 3: Cross multiply
    679.78x = 1,020.07 × 624.70
  4. Step 4: Simplify right side
    679.78x = 637,237.73
  5. Step 5: Solve for x
    x = 637,237.73/679.78
  6. Step 6: Final answer
    x = 937.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.