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Finding the Fourth Proportional to 863.98, 1,192.32 and 471.01

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Solution

The fourth proportional to 863.98, 1,192.32 and 471.01 is: 650.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.98 : 1,192.32 = 471.01 : x
  2. Step 2: Convert to fraction form
    863.98/1,192.32 = 471.01/x
  3. Step 3: Cross multiply
    863.98x = 1,192.32 × 471.01
  4. Step 4: Simplify right side
    863.98x = 561,594.64
  5. Step 5: Solve for x
    x = 561,594.64/863.98
  6. Step 6: Final answer
    x = 650.01

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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.