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Finding the Fourth Proportional to 1,245.70, 1,865.79 and 658.90

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Solution

The fourth proportional to 1,245.70, 1,865.79 and 658.90 is: 986.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.70 : 1,865.79 = 658.90 : x
  2. Step 2: Convert to fraction form
    1,245.70/1,865.79 = 658.90/x
  3. Step 3: Cross multiply
    1,245.70x = 1,865.79 × 658.90
  4. Step 4: Simplify right side
    1,245.70x = 1,229,369.03
  5. Step 5: Solve for x
    x = 1,229,369.03/1,245.70
  6. Step 6: Final answer
    x = 986.89

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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.