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Finding the Fourth Proportional to 1,236.16, 1,705.25 and 837.84

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Solution

The fourth proportional to 1,236.16, 1,705.25 and 837.84 is: 1,155.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.16 : 1,705.25 = 837.84 : x
  2. Step 2: Convert to fraction form
    1,236.16/1,705.25 = 837.84/x
  3. Step 3: Cross multiply
    1,236.16x = 1,705.25 × 837.84
  4. Step 4: Simplify right side
    1,236.16x = 1,428,735.15
  5. Step 5: Solve for x
    x = 1,428,735.15/1,236.16
  6. Step 6: Final answer
    x = 1,155.78

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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.