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Finding the Fourth Proportional to 865.38, 1,193.77 and 585.71

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Solution

The fourth proportional to 865.38, 1,193.77 and 585.71 is: 807.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.38 : 1,193.77 = 585.71 : x
  2. Step 2: Convert to fraction form
    865.38/1,193.77 = 585.71/x
  3. Step 3: Cross multiply
    865.38x = 1,193.77 × 585.71
  4. Step 4: Simplify right side
    865.38x = 699,208.98
  5. Step 5: Solve for x
    x = 699,208.98/865.38
  6. Step 6: Final answer
    x = 807.98

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.