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Finding the Fourth Proportional to 1,131.96, 1,698.12 and 401.44

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Solution

The fourth proportional to 1,131.96, 1,698.12 and 401.44 is: 602.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.96 : 1,698.12 = 401.44 : x
  2. Step 2: Convert to fraction form
    1,131.96/1,698.12 = 401.44/x
  3. Step 3: Cross multiply
    1,131.96x = 1,698.12 × 401.44
  4. Step 4: Simplify right side
    1,131.96x = 681,693.29
  5. Step 5: Solve for x
    x = 681,693.29/1,131.96
  6. Step 6: Final answer
    x = 602.22

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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.