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Finding the Fourth Proportional to 1,231.29, 1,845.86 and 461.61

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Solution

The fourth proportional to 1,231.29, 1,845.86 and 461.61 is: 692.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.29 : 1,845.86 = 461.61 : x
  2. Step 2: Convert to fraction form
    1,231.29/1,845.86 = 461.61/x
  3. Step 3: Cross multiply
    1,231.29x = 1,845.86 × 461.61
  4. Step 4: Simplify right side
    1,231.29x = 852,065.13
  5. Step 5: Solve for x
    x = 852,065.13/1,231.29
  6. Step 6: Final answer
    x = 692.01

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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.