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Finding the Fourth Proportional to 890.38, 1,229.69 and 610.12

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Solution

The fourth proportional to 890.38, 1,229.69 and 610.12 is: 842.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.38 : 1,229.69 = 610.12 : x
  2. Step 2: Convert to fraction form
    890.38/1,229.69 = 610.12/x
  3. Step 3: Cross multiply
    890.38x = 1,229.69 × 610.12
  4. Step 4: Simplify right side
    890.38x = 750,258.46
  5. Step 5: Solve for x
    x = 750,258.46/890.38
  6. Step 6: Final answer
    x = 842.63

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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.