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Finding the Fourth Proportional to 779.57, 1,167.96 and 694.82

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Solution

The fourth proportional to 779.57, 1,167.96 and 694.82 is: 1,040.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.57 : 1,167.96 = 694.82 : x
  2. Step 2: Convert to fraction form
    779.57/1,167.96 = 694.82/x
  3. Step 3: Cross multiply
    779.57x = 1,167.96 × 694.82
  4. Step 4: Simplify right side
    779.57x = 811,516.13
  5. Step 5: Solve for x
    x = 811,516.13/779.57
  6. Step 6: Final answer
    x = 1,040.99

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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.