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Finding the Fourth Proportional to 1,231.72, 1,846.98 and 842.32

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Solution

The fourth proportional to 1,231.72, 1,846.98 and 842.32 is: 1,263.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.72 : 1,846.98 = 842.32 : x
  2. Step 2: Convert to fraction form
    1,231.72/1,846.98 = 842.32/x
  3. Step 3: Cross multiply
    1,231.72x = 1,846.98 × 842.32
  4. Step 4: Simplify right side
    1,231.72x = 1,555,748.19
  5. Step 5: Solve for x
    x = 1,555,748.19/1,231.72
  6. Step 6: Final answer
    x = 1,263.07

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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.