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Finding the Fourth Proportional to 932.64, 1,286.53 and 578.44

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Solution

The fourth proportional to 932.64, 1,286.53 and 578.44 is: 797.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.64 : 1,286.53 = 578.44 : x
  2. Step 2: Convert to fraction form
    932.64/1,286.53 = 578.44/x
  3. Step 3: Cross multiply
    932.64x = 1,286.53 × 578.44
  4. Step 4: Simplify right side
    932.64x = 744,171.09
  5. Step 5: Solve for x
    x = 744,171.09/932.64
  6. Step 6: Final answer
    x = 797.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.