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Finding the Fourth Proportional to 892.90, 1,232.00 and 561.20

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Solution

The fourth proportional to 892.90, 1,232.00 and 561.20 is: 774.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.90 : 1,232.00 = 561.20 : x
  2. Step 2: Convert to fraction form
    892.90/1,232.00 = 561.20/x
  3. Step 3: Cross multiply
    892.90x = 1,232.00 × 561.20
  4. Step 4: Simplify right side
    892.90x = 691,398.67
  5. Step 5: Solve for x
    x = 691,398.67/892.90
  6. Step 6: Final answer
    x = 774.33

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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.