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Finding the Fourth Proportional to 768.74, 1,153.13 and 736.97

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Solution

The fourth proportional to 768.74, 1,153.13 and 736.97 is: 1,105.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.74 : 1,153.13 = 736.97 : x
  2. Step 2: Convert to fraction form
    768.74/1,153.13 = 736.97/x
  3. Step 3: Cross multiply
    768.74x = 1,153.13 × 736.97
  4. Step 4: Simplify right side
    768.74x = 849,812.77
  5. Step 5: Solve for x
    x = 849,812.77/768.74
  6. Step 6: Final answer
    x = 1,105.47

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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.