Home / 1,464.24-2,020.69-801.12

Finding the Fourth Proportional to 1,464.24, 2,020.69 and 801.12

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Solution

The fourth proportional to 1,464.24, 2,020.69 and 801.12 is: 1,105.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.24 : 2,020.69 = 801.12 : x
  2. Step 2: Convert to fraction form
    1,464.24/2,020.69 = 801.12/x
  3. Step 3: Cross multiply
    1,464.24x = 2,020.69 × 801.12
  4. Step 4: Simplify right side
    1,464.24x = 1,618,815.17
  5. Step 5: Solve for x
    x = 1,618,815.17/1,464.24
  6. Step 6: Final answer
    x = 1,105.57

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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.