Home / 1,232.30-1,845.91-820.11

Finding the Fourth Proportional to 1,232.30, 1,845.91 and 820.11

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Solution

The fourth proportional to 1,232.30, 1,845.91 and 820.11 is: 1,228.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.30 : 1,845.91 = 820.11 : x
  2. Step 2: Convert to fraction form
    1,232.30/1,845.91 = 820.11/x
  3. Step 3: Cross multiply
    1,232.30x = 1,845.91 × 820.11
  4. Step 4: Simplify right side
    1,232.30x = 1,513,840.02
  5. Step 5: Solve for x
    x = 1,513,840.02/1,232.30
  6. Step 6: Final answer
    x = 1,228.47

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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.