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Finding the Fourth Proportional to 768.68, 1,146.94 and 722

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Solution

The fourth proportional to 768.68, 1,146.94 and 722 is: 1,077.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.68 : 1,146.94 = 722 : x
  2. Step 2: Convert to fraction form
    768.68/1,146.94 = 722/x
  3. Step 3: Cross multiply
    768.68x = 1,146.94 × 722
  4. Step 4: Simplify right side
    768.68x = 828,090.68
  5. Step 5: Solve for x
    x = 828,090.68/768.68
  6. Step 6: Final answer
    x = 1,077.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.