Home / 1,053.26-1,581.25-809.95

Finding the Fourth Proportional to 1,053.26, 1,581.25 and 809.95

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Solution

The fourth proportional to 1,053.26, 1,581.25 and 809.95 is: 1,215.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.26 : 1,581.25 = 809.95 : x
  2. Step 2: Convert to fraction form
    1,053.26/1,581.25 = 809.95/x
  3. Step 3: Cross multiply
    1,053.26x = 1,581.25 × 809.95
  4. Step 4: Simplify right side
    1,053.26x = 1,280,736.43
  5. Step 5: Solve for x
    x = 1,280,736.43/1,053.26
  6. Step 6: Final answer
    x = 1,215.98

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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.