Home / 1,467.21-2,024.75-804.07

Finding the Fourth Proportional to 1,467.21, 2,024.75 and 804.07

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Solution

The fourth proportional to 1,467.21, 2,024.75 and 804.07 is: 1,109.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.21 : 2,024.75 = 804.07 : x
  2. Step 2: Convert to fraction form
    1,467.21/2,024.75 = 804.07/x
  3. Step 3: Cross multiply
    1,467.21x = 2,024.75 × 804.07
  4. Step 4: Simplify right side
    1,467.21x = 1,628,031.65
  5. Step 5: Solve for x
    x = 1,628,031.65/1,467.21
  6. Step 6: Final answer
    x = 1,109.61

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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.