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Finding the Fourth Proportional to 925.95, 1,277.69 and 611.82

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Solution

The fourth proportional to 925.95, 1,277.69 and 611.82 is: 844.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.95 : 1,277.69 = 611.82 : x
  2. Step 2: Convert to fraction form
    925.95/1,277.69 = 611.82/x
  3. Step 3: Cross multiply
    925.95x = 1,277.69 × 611.82
  4. Step 4: Simplify right side
    925.95x = 781,716.68
  5. Step 5: Solve for x
    x = 781,716.68/925.95
  6. Step 6: Final answer
    x = 844.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.