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Finding the Fourth Proportional to 1,442.37, 1,990.36 and 852.79

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Solution

The fourth proportional to 1,442.37, 1,990.36 and 852.79 is: 1,176.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.37 : 1,990.36 = 852.79 : x
  2. Step 2: Convert to fraction form
    1,442.37/1,990.36 = 852.79/x
  3. Step 3: Cross multiply
    1,442.37x = 1,990.36 × 852.79
  4. Step 4: Simplify right side
    1,442.37x = 1,697,359.10
  5. Step 5: Solve for x
    x = 1,697,359.10/1,442.37
  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.