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Finding the Fourth Proportional to 800.89, 1,199.25 and 686.07

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Solution

The fourth proportional to 800.89, 1,199.25 and 686.07 is: 1,027.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.89 : 1,199.25 = 686.07 : x
  2. Step 2: Convert to fraction form
    800.89/1,199.25 = 686.07/x
  3. Step 3: Cross multiply
    800.89x = 1,199.25 × 686.07
  4. Step 4: Simplify right side
    800.89x = 822,769.45
  5. Step 5: Solve for x
    x = 822,769.45/800.89
  6. Step 6: Final answer
    x = 1,027.32

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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.