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Finding the Fourth Proportional to 1,238.85, 1,855.62 and 943.07

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Solution

The fourth proportional to 1,238.85, 1,855.62 and 943.07 is: 1,412.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.85 : 1,855.62 = 943.07 : x
  2. Step 2: Convert to fraction form
    1,238.85/1,855.62 = 943.07/x
  3. Step 3: Cross multiply
    1,238.85x = 1,855.62 × 943.07
  4. Step 4: Simplify right side
    1,238.85x = 1,749,970.28
  5. Step 5: Solve for x
    x = 1,749,970.28/1,238.85
  6. Step 6: Final answer
    x = 1,412.58

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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.