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Finding the Fourth Proportional to 1,442.27, 1,989.79 and 945.19

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Solution

The fourth proportional to 1,442.27, 1,989.79 and 945.19 is: 1,304.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.27 : 1,989.79 = 945.19 : x
  2. Step 2: Convert to fraction form
    1,442.27/1,989.79 = 945.19/x
  3. Step 3: Cross multiply
    1,442.27x = 1,989.79 × 945.19
  4. Step 4: Simplify right side
    1,442.27x = 1,880,729.61
  5. Step 5: Solve for x
    x = 1,880,729.61/1,442.27
  6. Step 6: Final answer
    x = 1,304.01

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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.