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Finding the Fourth Proportional to 896.67, 1,237.41 and 565.25

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Solution

The fourth proportional to 896.67, 1,237.41 and 565.25 is: 780.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.67 : 1,237.41 = 565.25 : x
  2. Step 2: Convert to fraction form
    896.67/1,237.41 = 565.25/x
  3. Step 3: Cross multiply
    896.67x = 1,237.41 × 565.25
  4. Step 4: Simplify right side
    896.67x = 699,439.82
  5. Step 5: Solve for x
    x = 699,439.82/896.67
  6. Step 6: Final answer
    x = 780.04

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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.