Home / 1,467.25-2,024.85-804.15

Finding the Fourth Proportional to 1,467.25, 2,024.85 and 804.15

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Solution

The fourth proportional to 1,467.25, 2,024.85 and 804.15 is: 1,109.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.25 : 2,024.85 = 804.15 : x
  2. Step 2: Convert to fraction form
    1,467.25/2,024.85 = 804.15/x
  3. Step 3: Cross multiply
    1,467.25x = 2,024.85 × 804.15
  4. Step 4: Simplify right side
    1,467.25x = 1,628,286.00
  5. Step 5: Solve for x
    x = 1,628,286.00/1,467.25
  6. Step 6: Final answer
    x = 1,109.75

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1.5x scale

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.