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Finding the Fourth Proportional to 911.08, 1,364.78 and 559.24

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Solution

The fourth proportional to 911.08, 1,364.78 and 559.24 is: 837.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.08 : 1,364.78 = 559.24 : x
  2. Step 2: Convert to fraction form
    911.08/1,364.78 = 559.24/x
  3. Step 3: Cross multiply
    911.08x = 1,364.78 × 559.24
  4. Step 4: Simplify right side
    911.08x = 763,237.55
  5. Step 5: Solve for x
    x = 763,237.55/911.08
  6. Step 6: Final answer
    x = 837.73

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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.