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Finding the Fourth Proportional to 883.65, 1,322.06 and 759.27

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Solution

The fourth proportional to 883.65, 1,322.06 and 759.27 is: 1,135.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.65 : 1,322.06 = 759.27 : x
  2. Step 2: Convert to fraction form
    883.65/1,322.06 = 759.27/x
  3. Step 3: Cross multiply
    883.65x = 1,322.06 × 759.27
  4. Step 4: Simplify right side
    883.65x = 1,003,796.70
  5. Step 5: Solve for x
    x = 1,003,796.70/883.65
  6. Step 6: Final answer
    x = 1,135.97

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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.