Home / 1,033.20-1,549.44-339.68

Finding the Fourth Proportional to 1,033.20, 1,549.44 and 339.68

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Solution

The fourth proportional to 1,033.20, 1,549.44 and 339.68 is: 509.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.20 : 1,549.44 = 339.68 : x
  2. Step 2: Convert to fraction form
    1,033.20/1,549.44 = 339.68/x
  3. Step 3: Cross multiply
    1,033.20x = 1,549.44 × 339.68
  4. Step 4: Simplify right side
    1,033.20x = 526,317.65
  5. Step 5: Solve for x
    x = 526,317.65/1,033.20
  6. Step 6: Final answer
    x = 509.41

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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.