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Finding the Fourth Proportional to 927.93, 1,280.90 and 596.37

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Solution

The fourth proportional to 927.93, 1,280.90 and 596.37 is: 823.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.93 : 1,280.90 = 596.37 : x
  2. Step 2: Convert to fraction form
    927.93/1,280.90 = 596.37/x
  3. Step 3: Cross multiply
    927.93x = 1,280.90 × 596.37
  4. Step 4: Simplify right side
    927.93x = 763,890.33
  5. Step 5: Solve for x
    x = 763,890.33/927.93
  6. Step 6: Final answer
    x = 823.22

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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.