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Finding the Fourth Proportional to 698.16, 1,046.57 and 259.29

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Solution

The fourth proportional to 698.16, 1,046.57 and 259.29 is: 388.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.16 : 1,046.57 = 259.29 : x
  2. Step 2: Convert to fraction form
    698.16/1,046.57 = 259.29/x
  3. Step 3: Cross multiply
    698.16x = 1,046.57 × 259.29
  4. Step 4: Simplify right side
    698.16x = 271,366.03
  5. Step 5: Solve for x
    x = 271,366.03/698.16
  6. Step 6: Final answer
    x = 388.69

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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.