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Finding the Fourth Proportional to 1,164.92, 1,606.11 and 849.92

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Solution

The fourth proportional to 1,164.92, 1,606.11 and 849.92 is: 1,171.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.92 : 1,606.11 = 849.92 : x
  2. Step 2: Convert to fraction form
    1,164.92/1,606.11 = 849.92/x
  3. Step 3: Cross multiply
    1,164.92x = 1,606.11 × 849.92
  4. Step 4: Simplify right side
    1,164.92x = 1,365,065.01
  5. Step 5: Solve for x
    x = 1,365,065.01/1,164.92
  6. Step 6: Final answer
    x = 1,171.81

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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.