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Finding the Fourth Proportional to 736.35, 1,103.64 and 581.64

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Solution

The fourth proportional to 736.35, 1,103.64 and 581.64 is: 871.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.35 : 1,103.64 = 581.64 : x
  2. Step 2: Convert to fraction form
    736.35/1,103.64 = 581.64/x
  3. Step 3: Cross multiply
    736.35x = 1,103.64 × 581.64
  4. Step 4: Simplify right side
    736.35x = 641,921.17
  5. Step 5: Solve for x
    x = 641,921.17/736.35
  6. Step 6: Final answer
    x = 871.76

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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.