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Finding the Fourth Proportional to 1,442.89, 1,991.08 and 853.31

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Solution

The fourth proportional to 1,442.89, 1,991.08 and 853.31 is: 1,177.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.89 : 1,991.08 = 853.31 : x
  2. Step 2: Convert to fraction form
    1,442.89/1,991.08 = 853.31/x
  3. Step 3: Cross multiply
    1,442.89x = 1,991.08 × 853.31
  4. Step 4: Simplify right side
    1,442.89x = 1,699,008.47
  5. Step 5: Solve for x
    x = 1,699,008.47/1,442.89
  6. Step 6: Final answer
    x = 1,177.50

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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.