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Finding the Fourth Proportional to 863.77, 1,192.24 and 490.77

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Solution

The fourth proportional to 863.77, 1,192.24 and 490.77 is: 677.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.77 : 1,192.24 = 490.77 : x
  2. Step 2: Convert to fraction form
    863.77/1,192.24 = 490.77/x
  3. Step 3: Cross multiply
    863.77x = 1,192.24 × 490.77
  4. Step 4: Simplify right side
    863.77x = 585,107.21
  5. Step 5: Solve for x
    x = 585,107.21/863.77
  6. Step 6: Final answer
    x = 677.39

Related Problems

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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.