Home / 1,082.46-1,623.78-466.18

Finding the Fourth Proportional to 1,082.46, 1,623.78 and 466.18

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Solution

The fourth proportional to 1,082.46, 1,623.78 and 466.18 is: 699.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.46 : 1,623.78 = 466.18 : x
  2. Step 2: Convert to fraction form
    1,082.46/1,623.78 = 466.18/x
  3. Step 3: Cross multiply
    1,082.46x = 1,623.78 × 466.18
  4. Step 4: Simplify right side
    1,082.46x = 756,973.76
  5. Step 5: Solve for x
    x = 756,973.76/1,082.46
  6. Step 6: Final answer
    x = 699.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.