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Finding the Fourth Proportional to 927.69, 1,280.27 and 595.89

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Solution

The fourth proportional to 927.69, 1,280.27 and 595.89 is: 822.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.69 : 1,280.27 = 595.89 : x
  2. Step 2: Convert to fraction form
    927.69/1,280.27 = 595.89/x
  3. Step 3: Cross multiply
    927.69x = 1,280.27 × 595.89
  4. Step 4: Simplify right side
    927.69x = 762,900.09
  5. Step 5: Solve for x
    x = 762,900.09/927.69
  6. Step 6: Final answer
    x = 822.37

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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.