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Finding the Fourth Proportional to 736.26, 1,016.02 and 425.76

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Solution

The fourth proportional to 736.26, 1,016.02 and 425.76 is: 587.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.26 : 1,016.02 = 425.76 : x
  2. Step 2: Convert to fraction form
    736.26/1,016.02 = 425.76/x
  3. Step 3: Cross multiply
    736.26x = 1,016.02 × 425.76
  4. Step 4: Simplify right side
    736.26x = 432,580.68
  5. Step 5: Solve for x
    x = 432,580.68/736.26
  6. Step 6: Final answer
    x = 587.54

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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.