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Finding the Fourth Proportional to 808.14, 1,211.19 and 461.67

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Solution

The fourth proportional to 808.14, 1,211.19 and 461.67 is: 691.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.14 : 1,211.19 = 461.67 : x
  2. Step 2: Convert to fraction form
    808.14/1,211.19 = 461.67/x
  3. Step 3: Cross multiply
    808.14x = 1,211.19 × 461.67
  4. Step 4: Simplify right side
    808.14x = 559,170.09
  5. Step 5: Solve for x
    x = 559,170.09/808.14
  6. Step 6: Final answer
    x = 691.92

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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.