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Finding the Fourth Proportional to 736.26, 1,016.04 and 404.71

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Solution

The fourth proportional to 736.26, 1,016.04 and 404.71 is: 558.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.26 : 1,016.04 = 404.71 : x
  2. Step 2: Convert to fraction form
    736.26/1,016.04 = 404.71/x
  3. Step 3: Cross multiply
    736.26x = 1,016.04 × 404.71
  4. Step 4: Simplify right side
    736.26x = 411,200.53
  5. Step 5: Solve for x
    x = 411,200.53/736.26
  6. Step 6: Final answer
    x = 558.50

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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.