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Finding the Fourth Proportional to 1,234.92, 1,852.38 and 658.92

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Solution

The fourth proportional to 1,234.92, 1,852.38 and 658.92 is: 988.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.92 : 1,852.38 = 658.92 : x
  2. Step 2: Convert to fraction form
    1,234.92/1,852.38 = 658.92/x
  3. Step 3: Cross multiply
    1,234.92x = 1,852.38 × 658.92
  4. Step 4: Simplify right side
    1,234.92x = 1,220,570.23
  5. Step 5: Solve for x
    x = 1,220,570.23/1,234.92
  6. Step 6: Final answer
    x = 988.38

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Why These Related Problems?

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