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Finding the Fourth Proportional to 1,190.22, 1,785.25 and 706.34

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Solution

The fourth proportional to 1,190.22, 1,785.25 and 706.34 is: 1,059.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.22 : 1,785.25 = 706.34 : x
  2. Step 2: Convert to fraction form
    1,190.22/1,785.25 = 706.34/x
  3. Step 3: Cross multiply
    1,190.22x = 1,785.25 × 706.34
  4. Step 4: Simplify right side
    1,190.22x = 1,260,993.49
  5. Step 5: Solve for x
    x = 1,260,993.49/1,190.22
  6. Step 6: Final answer
    x = 1,059.46

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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.