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Finding the Fourth Proportional to 1,119.38, 1,668.22 and 1,061.06

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Solution

The fourth proportional to 1,119.38, 1,668.22 and 1,061.06 is: 1,581.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.38 : 1,668.22 = 1,061.06 : x
  2. Step 2: Convert to fraction form
    1,119.38/1,668.22 = 1,061.06/x
  3. Step 3: Cross multiply
    1,119.38x = 1,668.22 × 1,061.06
  4. Step 4: Simplify right side
    1,119.38x = 1,770,070.52
  5. Step 5: Solve for x
    x = 1,770,070.52/1,119.38
  6. Step 6: Final answer
    x = 1,581.30

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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.