Home / 1,467.23-2,024.79-804.11

Finding the Fourth Proportional to 1,467.23, 2,024.79 and 804.11

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Solution

The fourth proportional to 1,467.23, 2,024.79 and 804.11 is: 1,109.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.23 : 2,024.79 = 804.11 : x
  2. Step 2: Convert to fraction form
    1,467.23/2,024.79 = 804.11/x
  3. Step 3: Cross multiply
    1,467.23x = 2,024.79 × 804.11
  4. Step 4: Simplify right side
    1,467.23x = 1,628,140.75
  5. Step 5: Solve for x
    x = 1,628,140.75/1,467.23
  6. Step 6: Final answer
    x = 1,109.67

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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.