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Finding the Fourth Proportional to 1,805.49, 2,702.97 and 829.44

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Solution

The fourth proportional to 1,805.49, 2,702.97 and 829.44 is: 1,241.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.49 : 2,702.97 = 829.44 : x
  2. Step 2: Convert to fraction form
    1,805.49/2,702.97 = 829.44/x
  3. Step 3: Cross multiply
    1,805.49x = 2,702.97 × 829.44
  4. Step 4: Simplify right side
    1,805.49x = 2,241,951.44
  5. Step 5: Solve for x
    x = 2,241,951.44/1,805.49
  6. Step 6: Final answer
    x = 1,241.74

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1.5x scale

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.