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Finding the Fourth Proportional to 1,234.41, 1,702.97 and 808.92

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Solution

The fourth proportional to 1,234.41, 1,702.97 and 808.92 is: 1,115.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.41 : 1,702.97 = 808.92 : x
  2. Step 2: Convert to fraction form
    1,234.41/1,702.97 = 808.92/x
  3. Step 3: Cross multiply
    1,234.41x = 1,702.97 × 808.92
  4. Step 4: Simplify right side
    1,234.41x = 1,377,566.49
  5. Step 5: Solve for x
    x = 1,377,566.49/1,234.41
  6. Step 6: Final answer
    x = 1,115.97

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Half scale
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Double scale
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1.5x scale

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.