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Finding the Fourth Proportional to 1,097.28, 1,644.84 and 520.56

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Solution

The fourth proportional to 1,097.28, 1,644.84 and 520.56 is: 780.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.28 : 1,644.84 = 520.56 : x
  2. Step 2: Convert to fraction form
    1,097.28/1,644.84 = 520.56/x
  3. Step 3: Cross multiply
    1,097.28x = 1,644.84 × 520.56
  4. Step 4: Simplify right side
    1,097.28x = 856,237.91
  5. Step 5: Solve for x
    x = 856,237.91/1,097.28
  6. Step 6: Final answer
    x = 780.33

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Why These Related Problems?

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