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Finding the Fourth Proportional to 892.72, 1,231.62 and 561.02

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Solution

The fourth proportional to 892.72, 1,231.62 and 561.02 is: 774.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.72 : 1,231.62 = 561.02 : x
  2. Step 2: Convert to fraction form
    892.72/1,231.62 = 561.02/x
  3. Step 3: Cross multiply
    892.72x = 1,231.62 × 561.02
  4. Step 4: Simplify right side
    892.72x = 690,963.45
  5. Step 5: Solve for x
    x = 690,963.45/892.72
  6. Step 6: Final answer
    x = 774.00

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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.