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Finding the Fourth Proportional to 741.84, 1,108.20 and 568.44

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Solution

The fourth proportional to 741.84, 1,108.20 and 568.44 is: 849.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.84 : 1,108.20 = 568.44 : x
  2. Step 2: Convert to fraction form
    741.84/1,108.20 = 568.44/x
  3. Step 3: Cross multiply
    741.84x = 1,108.20 × 568.44
  4. Step 4: Simplify right side
    741.84x = 629,945.21
  5. Step 5: Solve for x
    x = 629,945.21/741.84
  6. Step 6: Final answer
    x = 849.17

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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.