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Finding the Fourth Proportional to 769.47, 1,061.85 and 420.15

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Solution

The fourth proportional to 769.47, 1,061.85 and 420.15 is: 579.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.47 : 1,061.85 = 420.15 : x
  2. Step 2: Convert to fraction form
    769.47/1,061.85 = 420.15/x
  3. Step 3: Cross multiply
    769.47x = 1,061.85 × 420.15
  4. Step 4: Simplify right side
    769.47x = 446,136.28
  5. Step 5: Solve for x
    x = 446,136.28/769.47
  6. Step 6: Final answer
    x = 579.80

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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.