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Finding the Fourth Proportional to 932.58, 1,286.73 and 578.34

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Solution

The fourth proportional to 932.58, 1,286.73 and 578.34 is: 797.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.58 : 1,286.73 = 578.34 : x
  2. Step 2: Convert to fraction form
    932.58/1,286.73 = 578.34/x
  3. Step 3: Cross multiply
    932.58x = 1,286.73 × 578.34
  4. Step 4: Simplify right side
    932.58x = 744,167.43
  5. Step 5: Solve for x
    x = 744,167.43/932.58
  6. Step 6: Final answer
    x = 797.97

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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.