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Finding the Fourth Proportional to 550.87, 826.61 and 522.72

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Solution

The fourth proportional to 550.87, 826.61 and 522.72 is: 784.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.87 : 826.61 = 522.72 : x
  2. Step 2: Convert to fraction form
    550.87/826.61 = 522.72/x
  3. Step 3: Cross multiply
    550.87x = 826.61 × 522.72
  4. Step 4: Simplify right side
    550.87x = 432,082.97
  5. Step 5: Solve for x
    x = 432,082.97/550.87
  6. Step 6: Final answer
    x = 784.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.