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Finding the Fourth Proportional to 838.62, 1,156.82 and 506.84

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Solution

The fourth proportional to 838.62, 1,156.82 and 506.84 is: 699.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.62 : 1,156.82 = 506.84 : x
  2. Step 2: Convert to fraction form
    838.62/1,156.82 = 506.84/x
  3. Step 3: Cross multiply
    838.62x = 1,156.82 × 506.84
  4. Step 4: Simplify right side
    838.62x = 586,322.65
  5. Step 5: Solve for x
    x = 586,322.65/838.62
  6. Step 6: Final answer
    x = 699.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.