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Finding the Fourth Proportional to 1,093.79, 1,639.60 and 836.75

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Solution

The fourth proportional to 1,093.79, 1,639.60 and 836.75 is: 1,254.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.79 : 1,639.60 = 836.75 : x
  2. Step 2: Convert to fraction form
    1,093.79/1,639.60 = 836.75/x
  3. Step 3: Cross multiply
    1,093.79x = 1,639.60 × 836.75
  4. Step 4: Simplify right side
    1,093.79x = 1,371,935.30
  5. Step 5: Solve for x
    x = 1,371,935.30/1,093.79
  6. Step 6: Final answer
    x = 1,254.29

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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.