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Finding the Fourth Proportional to 936.48, 1,401.16 and 820.06

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Solution

The fourth proportional to 936.48, 1,401.16 and 820.06 is: 1,226.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.48 : 1,401.16 = 820.06 : x
  2. Step 2: Convert to fraction form
    936.48/1,401.16 = 820.06/x
  3. Step 3: Cross multiply
    936.48x = 1,401.16 × 820.06
  4. Step 4: Simplify right side
    936.48x = 1,149,035.27
  5. Step 5: Solve for x
    x = 1,149,035.27/936.48
  6. Step 6: Final answer
    x = 1,226.97

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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.