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Finding the Fourth Proportional to 1,131.79, 1,697.69 and 401.39

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Solution

The fourth proportional to 1,131.79, 1,697.69 and 401.39 is: 602.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.79 : 1,697.69 = 401.39 : x
  2. Step 2: Convert to fraction form
    1,131.79/1,697.69 = 401.39/x
  3. Step 3: Cross multiply
    1,131.79x = 1,697.69 × 401.39
  4. Step 4: Simplify right side
    1,131.79x = 681,431.04
  5. Step 5: Solve for x
    x = 681,431.04/1,131.79
  6. Step 6: Final answer
    x = 602.08

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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.