Home / 1,464.30-2,020.74-801.18

Finding the Fourth Proportional to 1,464.30, 2,020.74 and 801.18

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Solution

The fourth proportional to 1,464.30, 2,020.74 and 801.18 is: 1,105.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.30 : 2,020.74 = 801.18 : x
  2. Step 2: Convert to fraction form
    1,464.30/2,020.74 = 801.18/x
  3. Step 3: Cross multiply
    1,464.30x = 2,020.74 × 801.18
  4. Step 4: Simplify right side
    1,464.30x = 1,618,976.47
  5. Step 5: Solve for x
    x = 1,618,976.47/1,464.30
  6. Step 6: Final answer
    x = 1,105.63

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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.