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Finding the Fourth Proportional to 1,236.64, 1,705.58 and 794.59

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Solution

The fourth proportional to 1,236.64, 1,705.58 and 794.59 is: 1,095.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.64 : 1,705.58 = 794.59 : x
  2. Step 2: Convert to fraction form
    1,236.64/1,705.58 = 794.59/x
  3. Step 3: Cross multiply
    1,236.64x = 1,705.58 × 794.59
  4. Step 4: Simplify right side
    1,236.64x = 1,355,236.81
  5. Step 5: Solve for x
    x = 1,355,236.81/1,236.64
  6. Step 6: Final answer
    x = 1,095.90

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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.