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Finding the Fourth Proportional to 843.75, 1,266.19 and 324.18

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Solution

The fourth proportional to 843.75, 1,266.19 and 324.18 is: 486.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.75 : 1,266.19 = 324.18 : x
  2. Step 2: Convert to fraction form
    843.75/1,266.19 = 324.18/x
  3. Step 3: Cross multiply
    843.75x = 1,266.19 × 324.18
  4. Step 4: Simplify right side
    843.75x = 410,472.66
  5. Step 5: Solve for x
    x = 410,472.66/843.75
  6. Step 6: Final answer
    x = 486.49

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Half scale
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Double scale
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Similar ratio
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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.