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Finding the Fourth Proportional to 1,144.14, 1,707.44 and 1,021.11

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Solution

The fourth proportional to 1,144.14, 1,707.44 and 1,021.11 is: 1,523.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.14 : 1,707.44 = 1,021.11 : x
  2. Step 2: Convert to fraction form
    1,144.14/1,707.44 = 1,021.11/x
  3. Step 3: Cross multiply
    1,144.14x = 1,707.44 × 1,021.11
  4. Step 4: Simplify right side
    1,144.14x = 1,743,484.06
  5. Step 5: Solve for x
    x = 1,743,484.06/1,144.14
  6. Step 6: Final answer
    x = 1,523.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.