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Finding the Fourth Proportional to 925.11, 1,387.74 and 275.87

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Solution

The fourth proportional to 925.11, 1,387.74 and 275.87 is: 413.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.11 : 1,387.74 = 275.87 : x
  2. Step 2: Convert to fraction form
    925.11/1,387.74 = 275.87/x
  3. Step 3: Cross multiply
    925.11x = 1,387.74 × 275.87
  4. Step 4: Simplify right side
    925.11x = 382,828.90
  5. Step 5: Solve for x
    x = 382,828.90/925.11
  6. Step 6: Final answer
    x = 413.82

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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.