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Finding the Fourth Proportional to 1,231.77, 1,846.34 and 538.82

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Solution

The fourth proportional to 1,231.77, 1,846.34 and 538.82 is: 807.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.77 : 1,846.34 = 538.82 : x
  2. Step 2: Convert to fraction form
    1,231.77/1,846.34 = 538.82/x
  3. Step 3: Cross multiply
    1,231.77x = 1,846.34 × 538.82
  4. Step 4: Simplify right side
    1,231.77x = 994,844.92
  5. Step 5: Solve for x
    x = 994,844.92/1,231.77
  6. Step 6: Final answer
    x = 807.65

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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.