Home / 1,289.24-1,933.13-411.57

Finding the Fourth Proportional to 1,289.24, 1,933.13 and 411.57

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Solution

The fourth proportional to 1,289.24, 1,933.13 and 411.57 is: 617.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.24 : 1,933.13 = 411.57 : x
  2. Step 2: Convert to fraction form
    1,289.24/1,933.13 = 411.57/x
  3. Step 3: Cross multiply
    1,289.24x = 1,933.13 × 411.57
  4. Step 4: Simplify right side
    1,289.24x = 795,616.26
  5. Step 5: Solve for x
    x = 795,616.26/1,289.24
  6. Step 6: Final answer
    x = 617.12

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Why These Related Problems?

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