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Finding the Fourth Proportional to 698.25, 1,046.61 and 307.84

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Solution

The fourth proportional to 698.25, 1,046.61 and 307.84 is: 461.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.25 : 1,046.61 = 307.84 : x
  2. Step 2: Convert to fraction form
    698.25/1,046.61 = 307.84/x
  3. Step 3: Cross multiply
    698.25x = 1,046.61 × 307.84
  4. Step 4: Simplify right side
    698.25x = 322,190.89
  5. Step 5: Solve for x
    x = 322,190.89/698.25
  6. Step 6: Final answer
    x = 461.42

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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.