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Finding the Fourth Proportional to 697.98, 1,046.62 and 259.09

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Solution

The fourth proportional to 697.98, 1,046.62 and 259.09 is: 388.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.98 : 1,046.62 = 259.09 : x
  2. Step 2: Convert to fraction form
    697.98/1,046.62 = 259.09/x
  3. Step 3: Cross multiply
    697.98x = 1,046.62 × 259.09
  4. Step 4: Simplify right side
    697.98x = 271,168.13
  5. Step 5: Solve for x
    x = 271,168.13/697.98
  6. Step 6: Final answer
    x = 388.51

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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.