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Finding the Fourth Proportional to 1,173.67, 1,761.09 and 712.60

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Solution

The fourth proportional to 1,173.67, 1,761.09 and 712.60 is: 1,069.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.67 : 1,761.09 = 712.60 : x
  2. Step 2: Convert to fraction form
    1,173.67/1,761.09 = 712.60/x
  3. Step 3: Cross multiply
    1,173.67x = 1,761.09 × 712.60
  4. Step 4: Simplify right side
    1,173.67x = 1,254,952.73
  5. Step 5: Solve for x
    x = 1,254,952.73/1,173.67
  6. Step 6: Final answer
    x = 1,069.26

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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.