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Finding the Fourth Proportional to 745.88, 1,119.42 and 361.13

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Solution

The fourth proportional to 745.88, 1,119.42 and 361.13 is: 541.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.88 : 1,119.42 = 361.13 : x
  2. Step 2: Convert to fraction form
    745.88/1,119.42 = 361.13/x
  3. Step 3: Cross multiply
    745.88x = 1,119.42 × 361.13
  4. Step 4: Simplify right side
    745.88x = 404,250.55
  5. Step 5: Solve for x
    x = 404,250.55/745.88
  6. Step 6: Final answer
    x = 541.98

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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.