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Finding the Fourth Proportional to 785.19, 1,082.66 and 637.37

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Solution

The fourth proportional to 785.19, 1,082.66 and 637.37 is: 878.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.19 : 1,082.66 = 637.37 : x
  2. Step 2: Convert to fraction form
    785.19/1,082.66 = 637.37/x
  3. Step 3: Cross multiply
    785.19x = 1,082.66 × 637.37
  4. Step 4: Simplify right side
    785.19x = 690,046.40
  5. Step 5: Solve for x
    x = 690,046.40/785.19
  6. Step 6: Final answer
    x = 878.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.