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Finding the Fourth Proportional to 795.87, 1,192.98 and 564.75

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Solution

The fourth proportional to 795.87, 1,192.98 and 564.75 is: 846.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.87 : 1,192.98 = 564.75 : x
  2. Step 2: Convert to fraction form
    795.87/1,192.98 = 564.75/x
  3. Step 3: Cross multiply
    795.87x = 1,192.98 × 564.75
  4. Step 4: Simplify right side
    795.87x = 673,735.46
  5. Step 5: Solve for x
    x = 673,735.46/795.87
  6. Step 6: Final answer
    x = 846.54

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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.