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Finding the Fourth Proportional to 1,442.31, 1,990.37 and 852.83

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Solution

The fourth proportional to 1,442.31, 1,990.37 and 852.83 is: 1,176.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.31 : 1,990.37 = 852.83 : x
  2. Step 2: Convert to fraction form
    1,442.31/1,990.37 = 852.83/x
  3. Step 3: Cross multiply
    1,442.31x = 1,990.37 × 852.83
  4. Step 4: Simplify right side
    1,442.31x = 1,697,446.89
  5. Step 5: Solve for x
    x = 1,697,446.89/1,442.31
  6. Step 6: Final answer
    x = 1,176.90

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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.