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Finding the Fourth Proportional to 769.10, 1,061.38 and 470.43

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Solution

The fourth proportional to 769.10, 1,061.38 and 470.43 is: 649.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.10 : 1,061.38 = 470.43 : x
  2. Step 2: Convert to fraction form
    769.10/1,061.38 = 470.43/x
  3. Step 3: Cross multiply
    769.10x = 1,061.38 × 470.43
  4. Step 4: Simplify right side
    769.10x = 499,307.24
  5. Step 5: Solve for x
    x = 499,307.24/769.10
  6. Step 6: Final answer
    x = 649.21

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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.