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Finding the Fourth Proportional to 889.83, 1,228.19 and 540.81

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Solution

The fourth proportional to 889.83, 1,228.19 and 540.81 is: 746.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.83 : 1,228.19 = 540.81 : x
  2. Step 2: Convert to fraction form
    889.83/1,228.19 = 540.81/x
  3. Step 3: Cross multiply
    889.83x = 1,228.19 × 540.81
  4. Step 4: Simplify right side
    889.83x = 664,214.73
  5. Step 5: Solve for x
    x = 664,214.73/889.83
  6. Step 6: Final answer
    x = 746.45

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