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Finding the Fourth Proportional to 1,201.05, 1,802.11 and 585.31

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Solution

The fourth proportional to 1,201.05, 1,802.11 and 585.31 is: 878.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.05 : 1,802.11 = 585.31 : x
  2. Step 2: Convert to fraction form
    1,201.05/1,802.11 = 585.31/x
  3. Step 3: Cross multiply
    1,201.05x = 1,802.11 × 585.31
  4. Step 4: Simplify right side
    1,201.05x = 1,054,793.00
  5. Step 5: Solve for x
    x = 1,054,793.00/1,201.05
  6. Step 6: Final answer
    x = 878.23

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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.