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Finding the Fourth Proportional to 677.94, 1,016.91 and 389.17

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Solution

The fourth proportional to 677.94, 1,016.91 and 389.17 is: 583.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.94 : 1,016.91 = 389.17 : x
  2. Step 2: Convert to fraction form
    677.94/1,016.91 = 389.17/x
  3. Step 3: Cross multiply
    677.94x = 1,016.91 × 389.17
  4. Step 4: Simplify right side
    677.94x = 395,750.86
  5. Step 5: Solve for x
    x = 395,750.86/677.94
  6. Step 6: Final answer
    x = 583.76

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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.