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Finding the Fourth Proportional to 1,186.12, 1,637.22 and 812.96

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Solution

The fourth proportional to 1,186.12, 1,637.22 and 812.96 is: 1,122.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.12 : 1,637.22 = 812.96 : x
  2. Step 2: Convert to fraction form
    1,186.12/1,637.22 = 812.96/x
  3. Step 3: Cross multiply
    1,186.12x = 1,637.22 × 812.96
  4. Step 4: Simplify right side
    1,186.12x = 1,330,994.37
  5. Step 5: Solve for x
    x = 1,330,994.37/1,186.12
  6. Step 6: Final answer
    x = 1,122.14

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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.