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Finding the Fourth Proportional to 837.84, 1,257 and 685.23

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Solution

The fourth proportional to 837.84, 1,257 and 685.23 is: 1,028.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.84 : 1,257 = 685.23 : x
  2. Step 2: Convert to fraction form
    837.84/1,257 = 685.23/x
  3. Step 3: Cross multiply
    837.84x = 1,257 × 685.23
  4. Step 4: Simplify right side
    837.84x = 861,334.11
  5. Step 5: Solve for x
    x = 861,334.11/837.84
  6. Step 6: Final answer
    x = 1,028.04

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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.