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Finding the Fourth Proportional to 779.02, 1,167.41 and 571.96

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Solution

The fourth proportional to 779.02, 1,167.41 and 571.96 is: 857.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.02 : 1,167.41 = 571.96 : x
  2. Step 2: Convert to fraction form
    779.02/1,167.41 = 571.96/x
  3. Step 3: Cross multiply
    779.02x = 1,167.41 × 571.96
  4. Step 4: Simplify right side
    779.02x = 667,714.71
  5. Step 5: Solve for x
    x = 667,714.71/779.02
  6. Step 6: Final answer
    x = 857.12

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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.