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Finding the Fourth Proportional to 769.52, 1,061.93 and 420.21

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Solution

The fourth proportional to 769.52, 1,061.93 and 420.21 is: 579.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.52 : 1,061.93 = 420.21 : x
  2. Step 2: Convert to fraction form
    769.52/1,061.93 = 420.21/x
  3. Step 3: Cross multiply
    769.52x = 1,061.93 × 420.21
  4. Step 4: Simplify right side
    769.52x = 446,226.19
  5. Step 5: Solve for x
    x = 446,226.19/769.52
  6. Step 6: Final answer
    x = 579.88

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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.