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Finding the Fourth Proportional to 677.89, 1,017.01 and 190.95

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Solution

The fourth proportional to 677.89, 1,017.01 and 190.95 is: 286.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.89 : 1,017.01 = 190.95 : x
  2. Step 2: Convert to fraction form
    677.89/1,017.01 = 190.95/x
  3. Step 3: Cross multiply
    677.89x = 1,017.01 × 190.95
  4. Step 4: Simplify right side
    677.89x = 194,198.06
  5. Step 5: Solve for x
    x = 194,198.06/677.89
  6. Step 6: Final answer
    x = 286.47

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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.