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Finding the Fourth Proportional to 811.86, 1,216.62 and 482.94

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Solution

The fourth proportional to 811.86, 1,216.62 and 482.94 is: 723.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.86 : 1,216.62 = 482.94 : x
  2. Step 2: Convert to fraction form
    811.86/1,216.62 = 482.94/x
  3. Step 3: Cross multiply
    811.86x = 1,216.62 × 482.94
  4. Step 4: Simplify right side
    811.86x = 587,554.46
  5. Step 5: Solve for x
    x = 587,554.46/811.86
  6. Step 6: Final answer
    x = 723.71

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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.