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Finding the Fourth Proportional to 751.70, 1,129.98 and 675.02

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Solution

The fourth proportional to 751.70, 1,129.98 and 675.02 is: 1,014.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.70 : 1,129.98 = 675.02 : x
  2. Step 2: Convert to fraction form
    751.70/1,129.98 = 675.02/x
  3. Step 3: Cross multiply
    751.70x = 1,129.98 × 675.02
  4. Step 4: Simplify right side
    751.70x = 762,759.10
  5. Step 5: Solve for x
    x = 762,759.10/751.70
  6. Step 6: Final answer
    x = 1,014.71

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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.