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Finding the Fourth Proportional to 827.22, 1,240.86 and 340.14

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Solution

The fourth proportional to 827.22, 1,240.86 and 340.14 is: 510.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.22 : 1,240.86 = 340.14 : x
  2. Step 2: Convert to fraction form
    827.22/1,240.86 = 340.14/x
  3. Step 3: Cross multiply
    827.22x = 1,240.86 × 340.14
  4. Step 4: Simplify right side
    827.22x = 422,066.12
  5. Step 5: Solve for x
    x = 422,066.12/827.22
  6. Step 6: Final answer
    x = 510.22

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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.