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Finding the Fourth Proportional to 820.81, 1,131.58 and 599.77

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Solution

The fourth proportional to 820.81, 1,131.58 and 599.77 is: 826.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.81 : 1,131.58 = 599.77 : x
  2. Step 2: Convert to fraction form
    820.81/1,131.58 = 599.77/x
  3. Step 3: Cross multiply
    820.81x = 1,131.58 × 599.77
  4. Step 4: Simplify right side
    820.81x = 678,687.74
  5. Step 5: Solve for x
    x = 678,687.74/820.81
  6. Step 6: Final answer
    x = 826.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.