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Finding the Fourth Proportional to 931.96, 1,286.02 and 539.01

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Solution

The fourth proportional to 931.96, 1,286.02 and 539.01 is: 743.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.96 : 1,286.02 = 539.01 : x
  2. Step 2: Convert to fraction form
    931.96/1,286.02 = 539.01/x
  3. Step 3: Cross multiply
    931.96x = 1,286.02 × 539.01
  4. Step 4: Simplify right side
    931.96x = 693,177.64
  5. Step 5: Solve for x
    x = 693,177.64/931.96
  6. Step 6: Final answer
    x = 743.78

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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.