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Finding the Fourth Proportional to 769.16, 1,061.63 and 437.77

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Solution

The fourth proportional to 769.16, 1,061.63 and 437.77 is: 604.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.16 : 1,061.63 = 437.77 : x
  2. Step 2: Convert to fraction form
    769.16/1,061.63 = 437.77/x
  3. Step 3: Cross multiply
    769.16x = 1,061.63 × 437.77
  4. Step 4: Simplify right side
    769.16x = 464,742.27
  5. Step 5: Solve for x
    x = 464,742.27/769.16
  6. Step 6: Final answer
    x = 604.22

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Why These Related Problems?

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