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Finding the Fourth Proportional to 796.34, 1,195.25 and 564.57

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Solution

The fourth proportional to 796.34, 1,195.25 and 564.57 is: 847.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.34 : 1,195.25 = 564.57 : x
  2. Step 2: Convert to fraction form
    796.34/1,195.25 = 564.57/x
  3. Step 3: Cross multiply
    796.34x = 1,195.25 × 564.57
  4. Step 4: Simplify right side
    796.34x = 674,802.29
  5. Step 5: Solve for x
    x = 674,802.29/796.34
  6. Step 6: Final answer
    x = 847.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.