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Finding the Fourth Proportional to 1,233.20, 1,847.64 and 582.80

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Solution

The fourth proportional to 1,233.20, 1,847.64 and 582.80 is: 873.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.20 : 1,847.64 = 582.80 : x
  2. Step 2: Convert to fraction form
    1,233.20/1,847.64 = 582.80/x
  3. Step 3: Cross multiply
    1,233.20x = 1,847.64 × 582.80
  4. Step 4: Simplify right side
    1,233.20x = 1,076,804.59
  5. Step 5: Solve for x
    x = 1,076,804.59/1,233.20
  6. Step 6: Final answer
    x = 873.18

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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.