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Finding the Fourth Proportional to 1,289.15, 1,933.87 and 411.35

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Solution

The fourth proportional to 1,289.15, 1,933.87 and 411.35 is: 617.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.15 : 1,933.87 = 411.35 : x
  2. Step 2: Convert to fraction form
    1,289.15/1,933.87 = 411.35/x
  3. Step 3: Cross multiply
    1,289.15x = 1,933.87 × 411.35
  4. Step 4: Simplify right side
    1,289.15x = 795,491.29
  5. Step 5: Solve for x
    x = 795,491.29/1,289.15
  6. Step 6: Final answer
    x = 617.07

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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.