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Finding the Fourth Proportional to 827.84, 1,242.17 and 340.63

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Solution

The fourth proportional to 827.84, 1,242.17 and 340.63 is: 511.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.84 : 1,242.17 = 340.63 : x
  2. Step 2: Convert to fraction form
    827.84/1,242.17 = 340.63/x
  3. Step 3: Cross multiply
    827.84x = 1,242.17 × 340.63
  4. Step 4: Simplify right side
    827.84x = 423,120.37
  5. Step 5: Solve for x
    x = 423,120.37/827.84
  6. Step 6: Final answer
    x = 511.11

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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.