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Finding the Fourth Proportional to 827.35, 1,240.55 and 340

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Solution

The fourth proportional to 827.35, 1,240.55 and 340 is: 509.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.35 : 1,240.55 = 340 : x
  2. Step 2: Convert to fraction form
    827.35/1,240.55 = 340/x
  3. Step 3: Cross multiply
    827.35x = 1,240.55 × 340
  4. Step 4: Simplify right side
    827.35x = 421,787.85
  5. Step 5: Solve for x
    x = 421,787.85/827.35
  6. Step 6: Final answer
    x = 509.81

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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.