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Finding the Fourth Proportional to 932.25, 1,286.51 and 539.50

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Solution

The fourth proportional to 932.25, 1,286.51 and 539.50 is: 744.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.25 : 1,286.51 = 539.50 : x
  2. Step 2: Convert to fraction form
    932.25/1,286.51 = 539.50/x
  3. Step 3: Cross multiply
    932.25x = 1,286.51 × 539.50
  4. Step 4: Simplify right side
    932.25x = 694,072.66
  5. Step 5: Solve for x
    x = 694,072.66/932.25
  6. Step 6: Final answer
    x = 744.51

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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.