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Finding the Fourth Proportional to 911.84, 1,364.49 and 564.89

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Solution

The fourth proportional to 911.84, 1,364.49 and 564.89 is: 845.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.84 : 1,364.49 = 564.89 : x
  2. Step 2: Convert to fraction form
    911.84/1,364.49 = 564.89/x
  3. Step 3: Cross multiply
    911.84x = 1,364.49 × 564.89
  4. Step 4: Simplify right side
    911.84x = 770,779.93
  5. Step 5: Solve for x
    x = 770,779.93/911.84
  6. Step 6: Final answer
    x = 845.31

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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.