Home / 1,206.42-1,661.88-1,028.80

Finding the Fourth Proportional to 1,206.42, 1,661.88 and 1,028.80

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Solution

The fourth proportional to 1,206.42, 1,661.88 and 1,028.80 is: 1,417.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.42 : 1,661.88 = 1,028.80 : x
  2. Step 2: Convert to fraction form
    1,206.42/1,661.88 = 1,028.80/x
  3. Step 3: Cross multiply
    1,206.42x = 1,661.88 × 1,028.80
  4. Step 4: Simplify right side
    1,206.42x = 1,709,739.57
  5. Step 5: Solve for x
    x = 1,709,739.57/1,206.42
  6. Step 6: Final answer
    x = 1,417.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.