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Finding the Fourth Proportional to 698.92, 1,048.38 and 287.98

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Solution

The fourth proportional to 698.92, 1,048.38 and 287.98 is: 431.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.92 : 1,048.38 = 287.98 : x
  2. Step 2: Convert to fraction form
    698.92/1,048.38 = 287.98/x
  3. Step 3: Cross multiply
    698.92x = 1,048.38 × 287.98
  4. Step 4: Simplify right side
    698.92x = 301,912.47
  5. Step 5: Solve for x
    x = 301,912.47/698.92
  6. Step 6: Final answer
    x = 431.97

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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.