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Finding the Fourth Proportional to 751.69, 1,037.34 and 420.13

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Solution

The fourth proportional to 751.69, 1,037.34 and 420.13 is: 579.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.69 : 1,037.34 = 420.13 : x
  2. Step 2: Convert to fraction form
    751.69/1,037.34 = 420.13/x
  3. Step 3: Cross multiply
    751.69x = 1,037.34 × 420.13
  4. Step 4: Simplify right side
    751.69x = 435,817.65
  5. Step 5: Solve for x
    x = 435,817.65/751.69
  6. Step 6: Final answer
    x = 579.78

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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.