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Finding the Fourth Proportional to 865.36, 1,194.20 and 472.38

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Solution

The fourth proportional to 865.36, 1,194.20 and 472.38 is: 651.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.36 : 1,194.20 = 472.38 : x
  2. Step 2: Convert to fraction form
    865.36/1,194.20 = 472.38/x
  3. Step 3: Cross multiply
    865.36x = 1,194.20 × 472.38
  4. Step 4: Simplify right side
    865.36x = 564,116.20
  5. Step 5: Solve for x
    x = 564,116.20/865.36
  6. Step 6: Final answer
    x = 651.89

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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.