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Finding the Fourth Proportional to 736.33, 1,016.05 and 588.91

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Solution

The fourth proportional to 736.33, 1,016.05 and 588.91 is: 812.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.33 : 1,016.05 = 588.91 : x
  2. Step 2: Convert to fraction form
    736.33/1,016.05 = 588.91/x
  3. Step 3: Cross multiply
    736.33x = 1,016.05 × 588.91
  4. Step 4: Simplify right side
    736.33x = 598,353.98
  5. Step 5: Solve for x
    x = 598,353.98/736.33
  6. Step 6: Final answer
    x = 812.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.