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Finding the Fourth Proportional to 751.27, 1,036.68 and 419.68

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Solution

The fourth proportional to 751.27, 1,036.68 and 419.68 is: 579.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.27 : 1,036.68 = 419.68 : x
  2. Step 2: Convert to fraction form
    751.27/1,036.68 = 419.68/x
  3. Step 3: Cross multiply
    751.27x = 1,036.68 × 419.68
  4. Step 4: Simplify right side
    751.27x = 435,073.86
  5. Step 5: Solve for x
    x = 435,073.86/751.27
  6. Step 6: Final answer
    x = 579.12

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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.