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Finding the Fourth Proportional to 854.94, 1,281.71 and 786.59

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Solution

The fourth proportional to 854.94, 1,281.71 and 786.59 is: 1,179.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.94 : 1,281.71 = 786.59 : x
  2. Step 2: Convert to fraction form
    854.94/1,281.71 = 786.59/x
  3. Step 3: Cross multiply
    854.94x = 1,281.71 × 786.59
  4. Step 4: Simplify right side
    854.94x = 1,008,169.93
  5. Step 5: Solve for x
    x = 1,008,169.93/854.94
  6. Step 6: Final answer
    x = 1,179.23

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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.