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Finding the Fourth Proportional to 852.85, 1,278.86 and 275.65

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Solution

The fourth proportional to 852.85, 1,278.86 and 275.65 is: 413.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.85 : 1,278.86 = 275.65 : x
  2. Step 2: Convert to fraction form
    852.85/1,278.86 = 275.65/x
  3. Step 3: Cross multiply
    852.85x = 1,278.86 × 275.65
  4. Step 4: Simplify right side
    852.85x = 352,516.38
  5. Step 5: Solve for x
    x = 352,516.38/852.85
  6. Step 6: Final answer
    x = 413.34

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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.