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Finding the Fourth Proportional to 697.90, 1,046.16 and 259.04

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Solution

The fourth proportional to 697.90, 1,046.16 and 259.04 is: 388.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.90 : 1,046.16 = 259.04 : x
  2. Step 2: Convert to fraction form
    697.90/1,046.16 = 259.04/x
  3. Step 3: Cross multiply
    697.90x = 1,046.16 × 259.04
  4. Step 4: Simplify right side
    697.90x = 270,997.29
  5. Step 5: Solve for x
    x = 270,997.29/697.90
  6. Step 6: Final answer
    x = 388.30

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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.