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Finding the Fourth Proportional to 769.09, 1,061.41 and 437.62

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Solution

The fourth proportional to 769.09, 1,061.41 and 437.62 is: 603.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.09 : 1,061.41 = 437.62 : x
  2. Step 2: Convert to fraction form
    769.09/1,061.41 = 437.62/x
  3. Step 3: Cross multiply
    769.09x = 1,061.41 × 437.62
  4. Step 4: Simplify right side
    769.09x = 464,494.24
  5. Step 5: Solve for x
    x = 464,494.24/769.09
  6. Step 6: Final answer
    x = 603.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.