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Finding the Fourth Proportional to 892.37, 1,232.06 and 561.30

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Solution

The fourth proportional to 892.37, 1,232.06 and 561.30 is: 774.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.37 : 1,232.06 = 561.30 : x
  2. Step 2: Convert to fraction form
    892.37/1,232.06 = 561.30/x
  3. Step 3: Cross multiply
    892.37x = 1,232.06 × 561.30
  4. Step 4: Simplify right side
    892.37x = 691,552.47
  5. Step 5: Solve for x
    x = 691,552.47/892.37
  6. Step 6: Final answer
    x = 774.97

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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.