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Finding the Fourth Proportional to 784.44, 1,082.70 and 522.54

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Solution

The fourth proportional to 784.44, 1,082.70 and 522.54 is: 721.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.44 : 1,082.70 = 522.54 : x
  2. Step 2: Convert to fraction form
    784.44/1,082.70 = 522.54/x
  3. Step 3: Cross multiply
    784.44x = 1,082.70 × 522.54
  4. Step 4: Simplify right side
    784.44x = 565,754.06
  5. Step 5: Solve for x
    x = 565,754.06/784.44
  6. Step 6: Final answer
    x = 721.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.