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Finding the Fourth Proportional to 1,290.24, 1,933.97 and 468.27

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Solution

The fourth proportional to 1,290.24, 1,933.97 and 468.27 is: 701.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.24 : 1,933.97 = 468.27 : x
  2. Step 2: Convert to fraction form
    1,290.24/1,933.97 = 468.27/x
  3. Step 3: Cross multiply
    1,290.24x = 1,933.97 × 468.27
  4. Step 4: Simplify right side
    1,290.24x = 905,617.79
  5. Step 5: Solve for x
    x = 905,617.79/1,290.24
  6. Step 6: Final answer
    x = 701.90

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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.