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Finding the Fourth Proportional to 1,111.40, 1,668.13 and 563.97

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Solution

The fourth proportional to 1,111.40, 1,668.13 and 563.97 is: 846.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.40 : 1,668.13 = 563.97 : x
  2. Step 2: Convert to fraction form
    1,111.40/1,668.13 = 563.97/x
  3. Step 3: Cross multiply
    1,111.40x = 1,668.13 × 563.97
  4. Step 4: Simplify right side
    1,111.40x = 940,775.28
  5. Step 5: Solve for x
    x = 940,775.28/1,111.40
  6. Step 6: Final answer
    x = 846.48

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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.