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Finding the Fourth Proportional to 751.44, 1,037.00 and 419.86

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Solution

The fourth proportional to 751.44, 1,037.00 and 419.86 is: 579.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.44 : 1,037.00 = 419.86 : x
  2. Step 2: Convert to fraction form
    751.44/1,037.00 = 419.86/x
  3. Step 3: Cross multiply
    751.44x = 1,037.00 × 419.86
  4. Step 4: Simplify right side
    751.44x = 435,394.25
  5. Step 5: Solve for x
    x = 435,394.25/751.44
  6. Step 6: Final answer
    x = 579.41

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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.