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Finding the Fourth Proportional to 1,166.36, 1,609.22 and 772.97

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Solution

The fourth proportional to 1,166.36, 1,609.22 and 772.97 is: 1,066.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.36 : 1,609.22 = 772.97 : x
  2. Step 2: Convert to fraction form
    1,166.36/1,609.22 = 772.97/x
  3. Step 3: Cross multiply
    1,166.36x = 1,609.22 × 772.97
  4. Step 4: Simplify right side
    1,166.36x = 1,243,874.92
  5. Step 5: Solve for x
    x = 1,243,874.92/1,166.36
  6. Step 6: Final answer
    x = 1,066.46

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Why These Related Problems?

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