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Finding the Fourth Proportional to 1,232.96, 1,849.46 and 688.61

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Solution

The fourth proportional to 1,232.96, 1,849.46 and 688.61 is: 1,032.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.96 : 1,849.46 = 688.61 : x
  2. Step 2: Convert to fraction form
    1,232.96/1,849.46 = 688.61/x
  3. Step 3: Cross multiply
    1,232.96x = 1,849.46 × 688.61
  4. Step 4: Simplify right side
    1,232.96x = 1,273,556.65
  5. Step 5: Solve for x
    x = 1,273,556.65/1,232.96
  6. Step 6: Final answer
    x = 1,032.93

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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.