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Finding the Fourth Proportional to 800.10, 1,198.98 and 569.46

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Solution

The fourth proportional to 800.10, 1,198.98 and 569.46 is: 853.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.10 : 1,198.98 = 569.46 : x
  2. Step 2: Convert to fraction form
    800.10/1,198.98 = 569.46/x
  3. Step 3: Cross multiply
    800.10x = 1,198.98 × 569.46
  4. Step 4: Simplify right side
    800.10x = 682,771.15
  5. Step 5: Solve for x
    x = 682,771.15/800.10
  6. Step 6: Final answer
    x = 853.36

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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.