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Finding the Fourth Proportional to 811.77, 1,216.23 and 567.82

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Solution

The fourth proportional to 811.77, 1,216.23 and 567.82 is: 850.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.77 : 1,216.23 = 567.82 : x
  2. Step 2: Convert to fraction form
    811.77/1,216.23 = 567.82/x
  3. Step 3: Cross multiply
    811.77x = 1,216.23 × 567.82
  4. Step 4: Simplify right side
    811.77x = 690,599.72
  5. Step 5: Solve for x
    x = 690,599.72/811.77
  6. Step 6: Final answer
    x = 850.73

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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.