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Finding the Fourth Proportional to 1,186.36, 1,637.42 and 793.08

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Solution

The fourth proportional to 1,186.36, 1,637.42 and 793.08 is: 1,094.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.36 : 1,637.42 = 793.08 : x
  2. Step 2: Convert to fraction form
    1,186.36/1,637.42 = 793.08/x
  3. Step 3: Cross multiply
    1,186.36x = 1,637.42 × 793.08
  4. Step 4: Simplify right side
    1,186.36x = 1,298,605.05
  5. Step 5: Solve for x
    x = 1,298,605.05/1,186.36
  6. Step 6: Final answer
    x = 1,094.61

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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.