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Finding the Fourth Proportional to 1,238.94, 1,858.71 and 361.44

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Solution

The fourth proportional to 1,238.94, 1,858.71 and 361.44 is: 542.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.94 : 1,858.71 = 361.44 : x
  2. Step 2: Convert to fraction form
    1,238.94/1,858.71 = 361.44/x
  3. Step 3: Cross multiply
    1,238.94x = 1,858.71 × 361.44
  4. Step 4: Simplify right side
    1,238.94x = 671,812.14
  5. Step 5: Solve for x
    x = 671,812.14/1,238.94
  6. Step 6: Final answer
    x = 542.25

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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.