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Finding the Fourth Proportional to 751.80, 1,037.46 and 420.22

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Solution

The fourth proportional to 751.80, 1,037.46 and 420.22 is: 579.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.80 : 1,037.46 = 420.22 : x
  2. Step 2: Convert to fraction form
    751.80/1,037.46 = 420.22/x
  3. Step 3: Cross multiply
    751.80x = 1,037.46 × 420.22
  4. Step 4: Simplify right side
    751.80x = 435,961.44
  5. Step 5: Solve for x
    x = 435,961.44/751.80
  6. Step 6: Final answer
    x = 579.89

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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.