Home / 1,467.29-2,024.87-804.13

Finding the Fourth Proportional to 1,467.29, 2,024.87 and 804.13

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Solution

The fourth proportional to 1,467.29, 2,024.87 and 804.13 is: 1,109.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.29 : 2,024.87 = 804.13 : x
  2. Step 2: Convert to fraction form
    1,467.29/2,024.87 = 804.13/x
  3. Step 3: Cross multiply
    1,467.29x = 2,024.87 × 804.13
  4. Step 4: Simplify right side
    1,467.29x = 1,628,249.63
  5. Step 5: Solve for x
    x = 1,628,249.63/1,467.29
  6. Step 6: Final answer
    x = 1,109.70

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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.