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Finding the Fourth Proportional to 1,201.06, 1,801.60 and 584.56

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Solution

The fourth proportional to 1,201.06, 1,801.60 and 584.56 is: 876.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.06 : 1,801.60 = 584.56 : x
  2. Step 2: Convert to fraction form
    1,201.06/1,801.60 = 584.56/x
  3. Step 3: Cross multiply
    1,201.06x = 1,801.60 × 584.56
  4. Step 4: Simplify right side
    1,201.06x = 1,053,143.30
  5. Step 5: Solve for x
    x = 1,053,143.30/1,201.06
  6. Step 6: Final answer
    x = 876.84

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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.