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Finding the Fourth Proportional to 725.12, 1,087.80 and 262.95

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Solution

The fourth proportional to 725.12, 1,087.80 and 262.95 is: 394.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.12 : 1,087.80 = 262.95 : x
  2. Step 2: Convert to fraction form
    725.12/1,087.80 = 262.95/x
  3. Step 3: Cross multiply
    725.12x = 1,087.80 × 262.95
  4. Step 4: Simplify right side
    725.12x = 286,031.94
  5. Step 5: Solve for x
    x = 286,031.94/725.12
  6. Step 6: Final answer
    x = 394.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.