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Finding the Fourth Proportional to 1,090.44, 1,635.72 and 708.12

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Solution

The fourth proportional to 1,090.44, 1,635.72 and 708.12 is: 1,062.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.44 : 1,635.72 = 708.12 : x
  2. Step 2: Convert to fraction form
    1,090.44/1,635.72 = 708.12/x
  3. Step 3: Cross multiply
    1,090.44x = 1,635.72 × 708.12
  4. Step 4: Simplify right side
    1,090.44x = 1,158,286.05
  5. Step 5: Solve for x
    x = 1,158,286.05/1,090.44
  6. Step 6: Final answer
    x = 1,062.22

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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.