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Finding the Fourth Proportional to 927.27, 1,391.49 and 407.55

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Solution

The fourth proportional to 927.27, 1,391.49 and 407.55 is: 611.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.27 : 1,391.49 = 407.55 : x
  2. Step 2: Convert to fraction form
    927.27/1,391.49 = 407.55/x
  3. Step 3: Cross multiply
    927.27x = 1,391.49 × 407.55
  4. Step 4: Simplify right side
    927.27x = 567,101.75
  5. Step 5: Solve for x
    x = 567,101.75/927.27
  6. Step 6: Final answer
    x = 611.58

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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.