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Finding the Fourth Proportional to 751, 1,036.38 and 419.41

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Solution

The fourth proportional to 751, 1,036.38 and 419.41 is: 578.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    751 : 1,036.38 = 419.41 : x
  2. Step 2: Convert to fraction form
    751/1,036.38 = 419.41/x
  3. Step 3: Cross multiply
    751x = 1,036.38 × 419.41
  4. Step 4: Simplify right side
    751x = 434,668.14
  5. Step 5: Solve for x
    x = 434,668.14/751
  6. Step 6: Final answer
    x = 578.79

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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.