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Finding the Fourth Proportional to 648.19, 893.69 and 564.04

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Solution

The fourth proportional to 648.19, 893.69 and 564.04 is: 777.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.19 : 893.69 = 564.04 : x
  2. Step 2: Convert to fraction form
    648.19/893.69 = 564.04/x
  3. Step 3: Cross multiply
    648.19x = 893.69 × 564.04
  4. Step 4: Simplify right side
    648.19x = 504,072.44
  5. Step 5: Solve for x
    x = 504,072.44/648.19
  6. Step 6: Final answer
    x = 777.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.