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Finding the Fourth Proportional to 884.38, 1,220.46 and 491.43

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Solution

The fourth proportional to 884.38, 1,220.46 and 491.43 is: 678.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.38 : 1,220.46 = 491.43 : x
  2. Step 2: Convert to fraction form
    884.38/1,220.46 = 491.43/x
  3. Step 3: Cross multiply
    884.38x = 1,220.46 × 491.43
  4. Step 4: Simplify right side
    884.38x = 599,770.66
  5. Step 5: Solve for x
    x = 599,770.66/884.38
  6. Step 6: Final answer
    x = 678.18

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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.