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Finding the Fourth Proportional to 800.84, 1,199.42 and 668.48

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Solution

The fourth proportional to 800.84, 1,199.42 and 668.48 is: 1,001.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.84 : 1,199.42 = 668.48 : x
  2. Step 2: Convert to fraction form
    800.84/1,199.42 = 668.48/x
  3. Step 3: Cross multiply
    800.84x = 1,199.42 × 668.48
  4. Step 4: Simplify right side
    800.84x = 801,788.28
  5. Step 5: Solve for x
    x = 801,788.28/800.84
  6. Step 6: Final answer
    x = 1,001.18

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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.