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Finding the Fourth Proportional to 865.99, 1,193.86 and 585.78

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Solution

The fourth proportional to 865.99, 1,193.86 and 585.78 is: 807.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.99 : 1,193.86 = 585.78 : x
  2. Step 2: Convert to fraction form
    865.99/1,193.86 = 585.78/x
  3. Step 3: Cross multiply
    865.99x = 1,193.86 × 585.78
  4. Step 4: Simplify right side
    865.99x = 699,340.78
  5. Step 5: Solve for x
    x = 699,340.78/865.99
  6. Step 6: Final answer
    x = 807.56

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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.