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Finding the Fourth Proportional to 945.27, 1,296.81 and 814.05

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Solution

The fourth proportional to 945.27, 1,296.81 and 814.05 is: 1,116.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.27 : 1,296.81 = 814.05 : x
  2. Step 2: Convert to fraction form
    945.27/1,296.81 = 814.05/x
  3. Step 3: Cross multiply
    945.27x = 1,296.81 × 814.05
  4. Step 4: Simplify right side
    945.27x = 1,055,668.18
  5. Step 5: Solve for x
    x = 1,055,668.18/945.27
  6. Step 6: Final answer
    x = 1,116.79

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.