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Finding the Fourth Proportional to 1,442.73, 1,990.24 and 853.05

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Solution

The fourth proportional to 1,442.73, 1,990.24 and 853.05 is: 1,176.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.73 : 1,990.24 = 853.05 : x
  2. Step 2: Convert to fraction form
    1,442.73/1,990.24 = 853.05/x
  3. Step 3: Cross multiply
    1,442.73x = 1,990.24 × 853.05
  4. Step 4: Simplify right side
    1,442.73x = 1,697,772.10
  5. Step 5: Solve for x
    x = 1,697,772.10/1,442.73
  6. Step 6: Final answer
    x = 1,176.78

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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.