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Finding the Fourth Proportional to 827.84, 1,240.81 and 340.28

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Solution

The fourth proportional to 827.84, 1,240.81 and 340.28 is: 510.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.84 : 1,240.81 = 340.28 : x
  2. Step 2: Convert to fraction form
    827.84/1,240.81 = 340.28/x
  3. Step 3: Cross multiply
    827.84x = 1,240.81 × 340.28
  4. Step 4: Simplify right side
    827.84x = 422,221.13
  5. Step 5: Solve for x
    x = 422,221.13/827.84
  6. Step 6: Final answer
    x = 510.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.