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Finding the Fourth Proportional to 857.77, 1,286.66 and 309.95

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Solution

The fourth proportional to 857.77, 1,286.66 and 309.95 is: 464.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.77 : 1,286.66 = 309.95 : x
  2. Step 2: Convert to fraction form
    857.77/1,286.66 = 309.95/x
  3. Step 3: Cross multiply
    857.77x = 1,286.66 × 309.95
  4. Step 4: Simplify right side
    857.77x = 398,800.27
  5. Step 5: Solve for x
    x = 398,800.27/857.77
  6. Step 6: Final answer
    x = 464.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.