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Finding the Fourth Proportional to 864.35, 1,192.83 and 471.41

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Solution

The fourth proportional to 864.35, 1,192.83 and 471.41 is: 650.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.35 : 1,192.83 = 471.41 : x
  2. Step 2: Convert to fraction form
    864.35/1,192.83 = 471.41/x
  3. Step 3: Cross multiply
    864.35x = 1,192.83 × 471.41
  4. Step 4: Simplify right side
    864.35x = 562,311.99
  5. Step 5: Solve for x
    x = 562,311.99/864.35
  6. Step 6: Final answer
    x = 650.56

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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.