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Finding the Fourth Proportional to 800.19, 1,198.62 and 474.75

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Solution

The fourth proportional to 800.19, 1,198.62 and 474.75 is: 711.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.19 : 1,198.62 = 474.75 : x
  2. Step 2: Convert to fraction form
    800.19/1,198.62 = 474.75/x
  3. Step 3: Cross multiply
    800.19x = 1,198.62 × 474.75
  4. Step 4: Simplify right side
    800.19x = 569,044.85
  5. Step 5: Solve for x
    x = 569,044.85/800.19
  6. Step 6: Final answer
    x = 711.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.