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Finding the Fourth Proportional to 768.55, 1,053.21 and 694.74

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Solution

The fourth proportional to 768.55, 1,053.21 and 694.74 is: 952.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.55 : 1,053.21 = 694.74 : x
  2. Step 2: Convert to fraction form
    768.55/1,053.21 = 694.74/x
  3. Step 3: Cross multiply
    768.55x = 1,053.21 × 694.74
  4. Step 4: Simplify right side
    768.55x = 731,707.12
  5. Step 5: Solve for x
    x = 731,707.12/768.55
  6. Step 6: Final answer
    x = 952.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.