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Finding the Fourth Proportional to 932.08, 1,286.40 and 600.40

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Solution

The fourth proportional to 932.08, 1,286.40 and 600.40 is: 828.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.08 : 1,286.40 = 600.40 : x
  2. Step 2: Convert to fraction form
    932.08/1,286.40 = 600.40/x
  3. Step 3: Cross multiply
    932.08x = 1,286.40 × 600.40
  4. Step 4: Simplify right side
    932.08x = 772,354.56
  5. Step 5: Solve for x
    x = 772,354.56/932.08
  6. Step 6: Final answer
    x = 828.64

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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.