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Finding the Fourth Proportional to 736.26, 1,016.14 and 425.94

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Solution

The fourth proportional to 736.26, 1,016.14 and 425.94 is: 587.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.26 : 1,016.14 = 425.94 : x
  2. Step 2: Convert to fraction form
    736.26/1,016.14 = 425.94/x
  3. Step 3: Cross multiply
    736.26x = 1,016.14 × 425.94
  4. Step 4: Simplify right side
    736.26x = 432,814.67
  5. Step 5: Solve for x
    x = 432,814.67/736.26
  6. Step 6: Final answer
    x = 587.86

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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.