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Finding the Fourth Proportional to 843.86, 1,164.79 and 686.37

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Solution

The fourth proportional to 843.86, 1,164.79 and 686.37 is: 947.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.86 : 1,164.79 = 686.37 : x
  2. Step 2: Convert to fraction form
    843.86/1,164.79 = 686.37/x
  3. Step 3: Cross multiply
    843.86x = 1,164.79 × 686.37
  4. Step 4: Simplify right side
    843.86x = 799,476.91
  5. Step 5: Solve for x
    x = 799,476.91/843.86
  6. Step 6: Final answer
    x = 947.40

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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.