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Finding the Fourth Proportional to 1,318.29, 1,977.56 and 381.26

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Solution

The fourth proportional to 1,318.29, 1,977.56 and 381.26 is: 571.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.29 : 1,977.56 = 381.26 : x
  2. Step 2: Convert to fraction form
    1,318.29/1,977.56 = 381.26/x
  3. Step 3: Cross multiply
    1,318.29x = 1,977.56 × 381.26
  4. Step 4: Simplify right side
    1,318.29x = 753,954.64
  5. Step 5: Solve for x
    x = 753,954.64/1,318.29
  6. Step 6: Final answer
    x = 571.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.