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Finding the Fourth Proportional to 925.11, 1,387.50 and 275.69

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Solution

The fourth proportional to 925.11, 1,387.50 and 275.69 is: 413.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.11 : 1,387.50 = 275.69 : x
  2. Step 2: Convert to fraction form
    925.11/1,387.50 = 275.69/x
  3. Step 3: Cross multiply
    925.11x = 1,387.50 × 275.69
  4. Step 4: Simplify right side
    925.11x = 382,511.56
  5. Step 5: Solve for x
    x = 382,511.56/925.11
  6. Step 6: Final answer
    x = 413.48

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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.