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Finding the Fourth Proportional to 1,168.54, 1,613.22 and 853.48

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Solution

The fourth proportional to 1,168.54, 1,613.22 and 853.48 is: 1,178.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.54 : 1,613.22 = 853.48 : x
  2. Step 2: Convert to fraction form
    1,168.54/1,613.22 = 853.48/x
  3. Step 3: Cross multiply
    1,168.54x = 1,613.22 × 853.48
  4. Step 4: Simplify right side
    1,168.54x = 1,376,851.01
  5. Step 5: Solve for x
    x = 1,376,851.01/1,168.54
  6. Step 6: Final answer
    x = 1,178.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.