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Finding the Fourth Proportional to 1,288.53, 1,933.08 and 411.30

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Solution

The fourth proportional to 1,288.53, 1,933.08 and 411.30 is: 617.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.53 : 1,933.08 = 411.30 : x
  2. Step 2: Convert to fraction form
    1,288.53/1,933.08 = 411.30/x
  3. Step 3: Cross multiply
    1,288.53x = 1,933.08 × 411.30
  4. Step 4: Simplify right side
    1,288.53x = 795,074.78
  5. Step 5: Solve for x
    x = 795,074.78/1,288.53
  6. Step 6: Final answer
    x = 617.04

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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.