Home / 1,223.04-1,833.19-760.80

Finding the Fourth Proportional to 1,223.04, 1,833.19 and 760.80

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Solution

The fourth proportional to 1,223.04, 1,833.19 and 760.80 is: 1,140.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.04 : 1,833.19 = 760.80 : x
  2. Step 2: Convert to fraction form
    1,223.04/1,833.19 = 760.80/x
  3. Step 3: Cross multiply
    1,223.04x = 1,833.19 × 760.80
  4. Step 4: Simplify right side
    1,223.04x = 1,394,690.95
  5. Step 5: Solve for x
    x = 1,394,690.95/1,223.04
  6. Step 6: Final answer
    x = 1,140.35

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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.