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Finding the Fourth Proportional to 984.83, 1,477.22 and 573.15

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Solution

The fourth proportional to 984.83, 1,477.22 and 573.15 is: 859.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.83 : 1,477.22 = 573.15 : x
  2. Step 2: Convert to fraction form
    984.83/1,477.22 = 573.15/x
  3. Step 3: Cross multiply
    984.83x = 1,477.22 × 573.15
  4. Step 4: Simplify right side
    984.83x = 846,665.78
  5. Step 5: Solve for x
    x = 846,665.78/984.83
  6. Step 6: Final answer
    x = 859.71

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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.