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Finding the Fourth Proportional to 730.05, 1,093.44 and 567.24

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Solution

The fourth proportional to 730.05, 1,093.44 and 567.24 is: 849.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.05 : 1,093.44 = 567.24 : x
  2. Step 2: Convert to fraction form
    730.05/1,093.44 = 567.24/x
  3. Step 3: Cross multiply
    730.05x = 1,093.44 × 567.24
  4. Step 4: Simplify right side
    730.05x = 620,242.91
  5. Step 5: Solve for x
    x = 620,242.91/730.05
  6. Step 6: Final answer
    x = 849.59

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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.