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Finding the Fourth Proportional to 1,168.42, 1,610.94 and 853.42

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Solution

The fourth proportional to 1,168.42, 1,610.94 and 853.42 is: 1,176.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.42 : 1,610.94 = 853.42 : x
  2. Step 2: Convert to fraction form
    1,168.42/1,610.94 = 853.42/x
  3. Step 3: Cross multiply
    1,168.42x = 1,610.94 × 853.42
  4. Step 4: Simplify right side
    1,168.42x = 1,374,808.41
  5. Step 5: Solve for x
    x = 1,374,808.41/1,168.42
  6. Step 6: Final answer
    x = 1,176.64

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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.