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Finding the Fourth Proportional to 1,119.81, 1,680.12 and 812.01

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Solution

The fourth proportional to 1,119.81, 1,680.12 and 812.01 is: 1,218.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.81 : 1,680.12 = 812.01 : x
  2. Step 2: Convert to fraction form
    1,119.81/1,680.12 = 812.01/x
  3. Step 3: Cross multiply
    1,119.81x = 1,680.12 × 812.01
  4. Step 4: Simplify right side
    1,119.81x = 1,364,274.24
  5. Step 5: Solve for x
    x = 1,364,274.24/1,119.81
  6. Step 6: Final answer
    x = 1,218.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.