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Finding the Fourth Proportional to 927.23, 1,280.01 and 595.85

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Solution

The fourth proportional to 927.23, 1,280.01 and 595.85 is: 822.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.23 : 1,280.01 = 595.85 : x
  2. Step 2: Convert to fraction form
    927.23/1,280.01 = 595.85/x
  3. Step 3: Cross multiply
    927.23x = 1,280.01 × 595.85
  4. Step 4: Simplify right side
    927.23x = 762,693.96
  5. Step 5: Solve for x
    x = 762,693.96/927.23
  6. Step 6: Final answer
    x = 822.55

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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.