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Finding the Fourth Proportional to 931.93, 1,286.01 and 512.27

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Solution

The fourth proportional to 931.93, 1,286.01 and 512.27 is: 706.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.93 : 1,286.01 = 512.27 : x
  2. Step 2: Convert to fraction form
    931.93/1,286.01 = 512.27/x
  3. Step 3: Cross multiply
    931.93x = 1,286.01 × 512.27
  4. Step 4: Simplify right side
    931.93x = 658,784.34
  5. Step 5: Solve for x
    x = 658,784.34/931.93
  6. Step 6: Final answer
    x = 706.90

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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.