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Finding the Fourth Proportional to 1,131.81, 1,698.17 and 401.46

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Solution

The fourth proportional to 1,131.81, 1,698.17 and 401.46 is: 602.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.81 : 1,698.17 = 401.46 : x
  2. Step 2: Convert to fraction form
    1,131.81/1,698.17 = 401.46/x
  3. Step 3: Cross multiply
    1,131.81x = 1,698.17 × 401.46
  4. Step 4: Simplify right side
    1,131.81x = 681,745.32
  5. Step 5: Solve for x
    x = 681,745.32/1,131.81
  6. Step 6: Final answer
    x = 602.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.