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Finding the Fourth Proportional to 1,112.93, 1,668.22 and 804.64

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Solution

The fourth proportional to 1,112.93, 1,668.22 and 804.64 is: 1,206.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.93 : 1,668.22 = 804.64 : x
  2. Step 2: Convert to fraction form
    1,112.93/1,668.22 = 804.64/x
  3. Step 3: Cross multiply
    1,112.93x = 1,668.22 × 804.64
  4. Step 4: Simplify right side
    1,112.93x = 1,342,310.36
  5. Step 5: Solve for x
    x = 1,342,310.36/1,112.93
  6. Step 6: Final answer
    x = 1,206.10

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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.