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Finding the Fourth Proportional to 927.83, 1,393.11 and 441.23

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Solution

The fourth proportional to 927.83, 1,393.11 and 441.23 is: 662.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.83 : 1,393.11 = 441.23 : x
  2. Step 2: Convert to fraction form
    927.83/1,393.11 = 441.23/x
  3. Step 3: Cross multiply
    927.83x = 1,393.11 × 441.23
  4. Step 4: Simplify right side
    927.83x = 614,681.93
  5. Step 5: Solve for x
    x = 614,681.93/927.83
  6. Step 6: Final answer
    x = 662.49

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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.