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Finding the Fourth Proportional to 827.32, 1,240.19 and 307.18

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Solution

The fourth proportional to 827.32, 1,240.19 and 307.18 is: 460.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.32 : 1,240.19 = 307.18 : x
  2. Step 2: Convert to fraction form
    827.32/1,240.19 = 307.18/x
  3. Step 3: Cross multiply
    827.32x = 1,240.19 × 307.18
  4. Step 4: Simplify right side
    827.32x = 380,961.56
  5. Step 5: Solve for x
    x = 380,961.56/827.32
  6. Step 6: Final answer
    x = 460.48

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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.