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Finding the Fourth Proportional to 1,238.95, 1,858.12 and 361.22

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Solution

The fourth proportional to 1,238.95, 1,858.12 and 361.22 is: 541.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.95 : 1,858.12 = 361.22 : x
  2. Step 2: Convert to fraction form
    1,238.95/1,858.12 = 361.22/x
  3. Step 3: Cross multiply
    1,238.95x = 1,858.12 × 361.22
  4. Step 4: Simplify right side
    1,238.95x = 671,190.11
  5. Step 5: Solve for x
    x = 671,190.11/1,238.95
  6. Step 6: Final answer
    x = 541.74

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Why These Related Problems?

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