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Finding the Fourth Proportional to 932.58, 1,286.46 and 578.28

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Solution

The fourth proportional to 932.58, 1,286.46 and 578.28 is: 797.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.58 : 1,286.46 = 578.28 : x
  2. Step 2: Convert to fraction form
    932.58/1,286.46 = 578.28/x
  3. Step 3: Cross multiply
    932.58x = 1,286.46 × 578.28
  4. Step 4: Simplify right side
    932.58x = 743,934.09
  5. Step 5: Solve for x
    x = 743,934.09/932.58
  6. Step 6: Final answer
    x = 797.72

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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.