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Finding the Fourth Proportional to 699.24, 1,046.70 and 409.80

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Solution

The fourth proportional to 699.24, 1,046.70 and 409.80 is: 613.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.24 : 1,046.70 = 409.80 : x
  2. Step 2: Convert to fraction form
    699.24/1,046.70 = 409.80/x
  3. Step 3: Cross multiply
    699.24x = 1,046.70 × 409.80
  4. Step 4: Simplify right side
    699.24x = 428,937.66
  5. Step 5: Solve for x
    x = 428,937.66/699.24
  6. Step 6: Final answer
    x = 613.43

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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.