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Finding the Fourth Proportional to 927.82, 1,391.73 and 407.70

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Solution

The fourth proportional to 927.82, 1,391.73 and 407.70 is: 611.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.82 : 1,391.73 = 407.70 : x
  2. Step 2: Convert to fraction form
    927.82/1,391.73 = 407.70/x
  3. Step 3: Cross multiply
    927.82x = 1,391.73 × 407.70
  4. Step 4: Simplify right side
    927.82x = 567,399.32
  5. Step 5: Solve for x
    x = 567,399.32/927.82
  6. Step 6: Final answer
    x = 611.54

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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.