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Finding the Fourth Proportional to 779.20, 1,169 and 432.47

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Solution

The fourth proportional to 779.20, 1,169 and 432.47 is: 648.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.20 : 1,169 = 432.47 : x
  2. Step 2: Convert to fraction form
    779.20/1,169 = 432.47/x
  3. Step 3: Cross multiply
    779.20x = 1,169 × 432.47
  4. Step 4: Simplify right side
    779.20x = 505,557.43
  5. Step 5: Solve for x
    x = 505,557.43/779.20
  6. Step 6: Final answer
    x = 648.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.