Home / 1,464.29-2,020.68-801.12

Finding the Fourth Proportional to 1,464.29, 2,020.68 and 801.12

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Solution

The fourth proportional to 1,464.29, 2,020.68 and 801.12 is: 1,105.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.29 : 2,020.68 = 801.12 : x
  2. Step 2: Convert to fraction form
    1,464.29/2,020.68 = 801.12/x
  3. Step 3: Cross multiply
    1,464.29x = 2,020.68 × 801.12
  4. Step 4: Simplify right side
    1,464.29x = 1,618,807.16
  5. Step 5: Solve for x
    x = 1,618,807.16/1,464.29
  6. Step 6: Final answer
    x = 1,105.52

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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.