Home / 1,208.34-1,811.77-504.70

Finding the Fourth Proportional to 1,208.34, 1,811.77 and 504.70

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Solution

The fourth proportional to 1,208.34, 1,811.77 and 504.70 is: 756.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.34 : 1,811.77 = 504.70 : x
  2. Step 2: Convert to fraction form
    1,208.34/1,811.77 = 504.70/x
  3. Step 3: Cross multiply
    1,208.34x = 1,811.77 × 504.70
  4. Step 4: Simplify right side
    1,208.34x = 914,400.32
  5. Step 5: Solve for x
    x = 914,400.32/1,208.34
  6. Step 6: Final answer
    x = 756.74

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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.