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Finding the Fourth Proportional to 736.71, 1,101.83 and 600.63

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Solution

The fourth proportional to 736.71, 1,101.83 and 600.63 is: 898.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.71 : 1,101.83 = 600.63 : x
  2. Step 2: Convert to fraction form
    736.71/1,101.83 = 600.63/x
  3. Step 3: Cross multiply
    736.71x = 1,101.83 × 600.63
  4. Step 4: Simplify right side
    736.71x = 661,789.15
  5. Step 5: Solve for x
    x = 661,789.15/736.71
  6. Step 6: Final answer
    x = 898.30

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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.