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Finding the Fourth Proportional to 808.69, 1,213.54 and 369.87

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Solution

The fourth proportional to 808.69, 1,213.54 and 369.87 is: 555.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.69 : 1,213.54 = 369.87 : x
  2. Step 2: Convert to fraction form
    808.69/1,213.54 = 369.87/x
  3. Step 3: Cross multiply
    808.69x = 1,213.54 × 369.87
  4. Step 4: Simplify right side
    808.69x = 448,850.19
  5. Step 5: Solve for x
    x = 448,850.19/808.69
  6. Step 6: Final answer
    x = 555.04

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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.