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Finding the Fourth Proportional to 911.91, 1,369.20 and 564.24

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Solution

The fourth proportional to 911.91, 1,369.20 and 564.24 is: 847.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.91 : 1,369.20 = 564.24 : x
  2. Step 2: Convert to fraction form
    911.91/1,369.20 = 564.24/x
  3. Step 3: Cross multiply
    911.91x = 1,369.20 × 564.24
  4. Step 4: Simplify right side
    911.91x = 772,557.41
  5. Step 5: Solve for x
    x = 772,557.41/911.91
  6. Step 6: Final answer
    x = 847.19

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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.