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Finding the Fourth Proportional to 1,141.24, 1,711.86 and 275.55

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Solution

The fourth proportional to 1,141.24, 1,711.86 and 275.55 is: 413.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.24 : 1,711.86 = 275.55 : x
  2. Step 2: Convert to fraction form
    1,141.24/1,711.86 = 275.55/x
  3. Step 3: Cross multiply
    1,141.24x = 1,711.86 × 275.55
  4. Step 4: Simplify right side
    1,141.24x = 471,712.34
  5. Step 5: Solve for x
    x = 471,712.34/1,141.24
  6. Step 6: Final answer
    x = 413.33

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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.