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Finding the Fourth Proportional to 769.23, 1,153.94 and 509.22

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Solution

The fourth proportional to 769.23, 1,153.94 and 509.22 is: 763.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.23 : 1,153.94 = 509.22 : x
  2. Step 2: Convert to fraction form
    769.23/1,153.94 = 509.22/x
  3. Step 3: Cross multiply
    769.23x = 1,153.94 × 509.22
  4. Step 4: Simplify right side
    769.23x = 587,606.78
  5. Step 5: Solve for x
    x = 587,606.78/769.23
  6. Step 6: Final answer
    x = 763.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.