Home / 1,203.20-1,804.80-1,077.65

Finding the Fourth Proportional to 1,203.20, 1,804.80 and 1,077.65

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Solution

The fourth proportional to 1,203.20, 1,804.80 and 1,077.65 is: 1,616.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.20 : 1,804.80 = 1,077.65 : x
  2. Step 2: Convert to fraction form
    1,203.20/1,804.80 = 1,077.65/x
  3. Step 3: Cross multiply
    1,203.20x = 1,804.80 × 1,077.65
  4. Step 4: Simplify right side
    1,203.20x = 1,944,942.72
  5. Step 5: Solve for x
    x = 1,944,942.72/1,203.20
  6. Step 6: Final answer
    x = 1,616.48

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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.