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Finding the Fourth Proportional to 932.88, 1,397.16 and 828.66

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Solution

The fourth proportional to 932.88, 1,397.16 and 828.66 is: 1,241.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.88 : 1,397.16 = 828.66 : x
  2. Step 2: Convert to fraction form
    932.88/1,397.16 = 828.66/x
  3. Step 3: Cross multiply
    932.88x = 1,397.16 × 828.66
  4. Step 4: Simplify right side
    932.88x = 1,157,770.61
  5. Step 5: Solve for x
    x = 1,157,770.61/932.88
  6. Step 6: Final answer
    x = 1,241.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.