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Finding the Fourth Proportional to 1,161.42, 1,603.01 and 741.69

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Solution

The fourth proportional to 1,161.42, 1,603.01 and 741.69 is: 1,023.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.42 : 1,603.01 = 741.69 : x
  2. Step 2: Convert to fraction form
    1,161.42/1,603.01 = 741.69/x
  3. Step 3: Cross multiply
    1,161.42x = 1,603.01 × 741.69
  4. Step 4: Simplify right side
    1,161.42x = 1,188,936.49
  5. Step 5: Solve for x
    x = 1,188,936.49/1,161.42
  6. Step 6: Final answer
    x = 1,023.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.