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Finding the Fourth Proportional to 779.06, 1,167.52 and 431.88

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Solution

The fourth proportional to 779.06, 1,167.52 and 431.88 is: 647.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.06 : 1,167.52 = 431.88 : x
  2. Step 2: Convert to fraction form
    779.06/1,167.52 = 431.88/x
  3. Step 3: Cross multiply
    779.06x = 1,167.52 × 431.88
  4. Step 4: Simplify right side
    779.06x = 504,228.54
  5. Step 5: Solve for x
    x = 504,228.54/779.06
  6. Step 6: Final answer
    x = 647.23

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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.