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Finding the Fourth Proportional to 786.11, 1,082.34 and 639.23

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Solution

The fourth proportional to 786.11, 1,082.34 and 639.23 is: 880.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.11 : 1,082.34 = 639.23 : x
  2. Step 2: Convert to fraction form
    786.11/1,082.34 = 639.23/x
  3. Step 3: Cross multiply
    786.11x = 1,082.34 × 639.23
  4. Step 4: Simplify right side
    786.11x = 691,858.79
  5. Step 5: Solve for x
    x = 691,858.79/786.11
  6. Step 6: Final answer
    x = 880.11

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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.