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Finding the Fourth Proportional to 1,166.34, 1,747.71 and 922.26

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Solution

The fourth proportional to 1,166.34, 1,747.71 and 922.26 is: 1,381.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.34 : 1,747.71 = 922.26 : x
  2. Step 2: Convert to fraction form
    1,166.34/1,747.71 = 922.26/x
  3. Step 3: Cross multiply
    1,166.34x = 1,747.71 × 922.26
  4. Step 4: Simplify right side
    1,166.34x = 1,611,843.02
  5. Step 5: Solve for x
    x = 1,611,843.02/1,166.34
  6. Step 6: Final answer
    x = 1,381.97

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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.