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Finding the Fourth Proportional to 784.56, 1,082.16 and 523.02

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Solution

The fourth proportional to 784.56, 1,082.16 and 523.02 is: 721.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.56 : 1,082.16 = 523.02 : x
  2. Step 2: Convert to fraction form
    784.56/1,082.16 = 523.02/x
  3. Step 3: Cross multiply
    784.56x = 1,082.16 × 523.02
  4. Step 4: Simplify right side
    784.56x = 565,991.32
  5. Step 5: Solve for x
    x = 565,991.32/784.56
  6. Step 6: Final answer
    x = 721.41

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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.