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Finding the Fourth Proportional to 931.85, 1,286.09 and 538.93

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Solution

The fourth proportional to 931.85, 1,286.09 and 538.93 is: 743.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.85 : 1,286.09 = 538.93 : x
  2. Step 2: Convert to fraction form
    931.85/1,286.09 = 538.93/x
  3. Step 3: Cross multiply
    931.85x = 1,286.09 × 538.93
  4. Step 4: Simplify right side
    931.85x = 693,112.48
  5. Step 5: Solve for x
    x = 693,112.48/931.85
  6. Step 6: Final answer
    x = 743.80

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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.