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Finding the Fourth Proportional to 912.98, 1,369.92 and 566.22

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Solution

The fourth proportional to 912.98, 1,369.92 and 566.22 is: 849.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.98 : 1,369.92 = 566.22 : x
  2. Step 2: Convert to fraction form
    912.98/1,369.92 = 566.22/x
  3. Step 3: Cross multiply
    912.98x = 1,369.92 × 566.22
  4. Step 4: Simplify right side
    912.98x = 775,676.10
  5. Step 5: Solve for x
    x = 775,676.10/912.98
  6. Step 6: Final answer
    x = 849.61

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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.