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Finding the Fourth Proportional to 751.20, 1,129.23 and 674.52

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Solution

The fourth proportional to 751.20, 1,129.23 and 674.52 is: 1,013.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.20 : 1,129.23 = 674.52 : x
  2. Step 2: Convert to fraction form
    751.20/1,129.23 = 674.52/x
  3. Step 3: Cross multiply
    751.20x = 1,129.23 × 674.52
  4. Step 4: Simplify right side
    751.20x = 761,688.22
  5. Step 5: Solve for x
    x = 761,688.22/751.20
  6. Step 6: Final answer
    x = 1,013.96

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