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Finding the Fourth Proportional to 800.70, 1,199.10 and 409.66

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Solution

The fourth proportional to 800.70, 1,199.10 and 409.66 is: 613.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.70 : 1,199.10 = 409.66 : x
  2. Step 2: Convert to fraction form
    800.70/1,199.10 = 409.66/x
  3. Step 3: Cross multiply
    800.70x = 1,199.10 × 409.66
  4. Step 4: Simplify right side
    800.70x = 491,223.31
  5. Step 5: Solve for x
    x = 491,223.31/800.70
  6. Step 6: Final answer
    x = 613.49

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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.