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Finding the Fourth Proportional to 805.82, 1,109.43 and 702.27

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Solution

The fourth proportional to 805.82, 1,109.43 and 702.27 is: 966.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.82 : 1,109.43 = 702.27 : x
  2. Step 2: Convert to fraction form
    805.82/1,109.43 = 702.27/x
  3. Step 3: Cross multiply
    805.82x = 1,109.43 × 702.27
  4. Step 4: Simplify right side
    805.82x = 779,119.41
  5. Step 5: Solve for x
    x = 779,119.41/805.82
  6. Step 6: Final answer
    x = 966.87

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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.