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Finding the Fourth Proportional to 892.45, 1,338.55 and 275.98

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Solution

The fourth proportional to 892.45, 1,338.55 and 275.98 is: 413.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.45 : 1,338.55 = 275.98 : x
  2. Step 2: Convert to fraction form
    892.45/1,338.55 = 275.98/x
  3. Step 3: Cross multiply
    892.45x = 1,338.55 × 275.98
  4. Step 4: Simplify right side
    892.45x = 369,413.03
  5. Step 5: Solve for x
    x = 369,413.03/892.45
  6. Step 6: Final answer
    x = 413.93

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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.