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Finding the Fourth Proportional to 779.05, 1,166.30 and 772.90

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Solution

The fourth proportional to 779.05, 1,166.30 and 772.90 is: 1,157.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.05 : 1,166.30 = 772.90 : x
  2. Step 2: Convert to fraction form
    779.05/1,166.30 = 772.90/x
  3. Step 3: Cross multiply
    779.05x = 1,166.30 × 772.90
  4. Step 4: Simplify right side
    779.05x = 901,433.27
  5. Step 5: Solve for x
    x = 901,433.27/779.05
  6. Step 6: Final answer
    x = 1,157.09

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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.