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Finding the Fourth Proportional to 863.83, 1,192.22 and 598.69

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Solution

The fourth proportional to 863.83, 1,192.22 and 598.69 is: 826.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.83 : 1,192.22 = 598.69 : x
  2. Step 2: Convert to fraction form
    863.83/1,192.22 = 598.69/x
  3. Step 3: Cross multiply
    863.83x = 1,192.22 × 598.69
  4. Step 4: Simplify right side
    863.83x = 713,767.20
  5. Step 5: Solve for x
    x = 713,767.20/863.83
  6. Step 6: Final answer
    x = 826.28

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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.