Home / 1,467.23-2,024.84-804.13

Finding the Fourth Proportional to 1,467.23, 2,024.84 and 804.13

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Solution

The fourth proportional to 1,467.23, 2,024.84 and 804.13 is: 1,109.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.23 : 2,024.84 = 804.13 : x
  2. Step 2: Convert to fraction form
    1,467.23/2,024.84 = 804.13/x
  3. Step 3: Cross multiply
    1,467.23x = 2,024.84 × 804.13
  4. Step 4: Simplify right side
    1,467.23x = 1,628,220.44
  5. Step 5: Solve for x
    x = 1,628,220.44/1,467.23
  6. Step 6: Final answer
    x = 1,109.73

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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.