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Finding the Fourth Proportional to 1,173.13, 1,759.34 and 967.19

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Solution

The fourth proportional to 1,173.13, 1,759.34 and 967.19 is: 1,450.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.13 : 1,759.34 = 967.19 : x
  2. Step 2: Convert to fraction form
    1,173.13/1,759.34 = 967.19/x
  3. Step 3: Cross multiply
    1,173.13x = 1,759.34 × 967.19
  4. Step 4: Simplify right side
    1,173.13x = 1,701,609.68
  5. Step 5: Solve for x
    x = 1,701,609.68/1,173.13
  6. Step 6: Final answer
    x = 1,450.49

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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.