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Finding the Fourth Proportional to 1,351.83, 1,865.49 and 762.36

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Solution

The fourth proportional to 1,351.83, 1,865.49 and 762.36 is: 1,052.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.83 : 1,865.49 = 762.36 : x
  2. Step 2: Convert to fraction form
    1,351.83/1,865.49 = 762.36/x
  3. Step 3: Cross multiply
    1,351.83x = 1,865.49 × 762.36
  4. Step 4: Simplify right side
    1,351.83x = 1,422,165.63
  5. Step 5: Solve for x
    x = 1,422,165.63/1,351.83
  6. Step 6: Final answer
    x = 1,052.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.