Home / 1,289.17-1,933.89-411.47

Finding the Fourth Proportional to 1,289.17, 1,933.89 and 411.47

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Solution

The fourth proportional to 1,289.17, 1,933.89 and 411.47 is: 617.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.17 : 1,933.89 = 411.47 : x
  2. Step 2: Convert to fraction form
    1,289.17/1,933.89 = 411.47/x
  3. Step 3: Cross multiply
    1,289.17x = 1,933.89 × 411.47
  4. Step 4: Simplify right side
    1,289.17x = 795,725.99
  5. Step 5: Solve for x
    x = 795,725.99/1,289.17
  6. Step 6: Final answer
    x = 617.24

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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.