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Finding the Fourth Proportional to 1,236.68, 1,706.04 and 794.42

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Solution

The fourth proportional to 1,236.68, 1,706.04 and 794.42 is: 1,095.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.68 : 1,706.04 = 794.42 : x
  2. Step 2: Convert to fraction form
    1,236.68/1,706.04 = 794.42/x
  3. Step 3: Cross multiply
    1,236.68x = 1,706.04 × 794.42
  4. Step 4: Simplify right side
    1,236.68x = 1,355,312.30
  5. Step 5: Solve for x
    x = 1,355,312.30/1,236.68
  6. Step 6: Final answer
    x = 1,095.93

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