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Finding the Fourth Proportional to 751.01, 1,125.60 and 457.59

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Solution

The fourth proportional to 751.01, 1,125.60 and 457.59 is: 685.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.01 : 1,125.60 = 457.59 : x
  2. Step 2: Convert to fraction form
    751.01/1,125.60 = 457.59/x
  3. Step 3: Cross multiply
    751.01x = 1,125.60 × 457.59
  4. Step 4: Simplify right side
    751.01x = 515,063.30
  5. Step 5: Solve for x
    x = 515,063.30/751.01
  6. Step 6: Final answer
    x = 685.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.