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Finding the Fourth Proportional to 769.69, 1,061.54 and 475.03

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Solution

The fourth proportional to 769.69, 1,061.54 and 475.03 is: 655.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.69 : 1,061.54 = 475.03 : x
  2. Step 2: Convert to fraction form
    769.69/1,061.54 = 475.03/x
  3. Step 3: Cross multiply
    769.69x = 1,061.54 × 475.03
  4. Step 4: Simplify right side
    769.69x = 504,260.10
  5. Step 5: Solve for x
    x = 504,260.10/769.69
  6. Step 6: Final answer
    x = 655.15

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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.