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Finding the Fourth Proportional to 1,238.78, 1,858.18 and 661.52

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Solution

The fourth proportional to 1,238.78, 1,858.18 and 661.52 is: 992.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.78 : 1,858.18 = 661.52 : x
  2. Step 2: Convert to fraction form
    1,238.78/1,858.18 = 661.52/x
  3. Step 3: Cross multiply
    1,238.78x = 1,858.18 × 661.52
  4. Step 4: Simplify right side
    1,238.78x = 1,229,223.23
  5. Step 5: Solve for x
    x = 1,229,223.23/1,238.78
  6. Step 6: Final answer
    x = 992.29

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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.