Home / 1,205.07-1,806.85-473.79

Finding the Fourth Proportional to 1,205.07, 1,806.85 and 473.79

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Solution

The fourth proportional to 1,205.07, 1,806.85 and 473.79 is: 710.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.07 : 1,806.85 = 473.79 : x
  2. Step 2: Convert to fraction form
    1,205.07/1,806.85 = 473.79/x
  3. Step 3: Cross multiply
    1,205.07x = 1,806.85 × 473.79
  4. Step 4: Simplify right side
    1,205.07x = 856,067.46
  5. Step 5: Solve for x
    x = 856,067.46/1,205.07
  6. Step 6: Final answer
    x = 710.39

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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.