Home / 1,022.08-1,410.45-579.97

Finding the Fourth Proportional to 1,022.08, 1,410.45 and 579.97

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Solution

The fourth proportional to 1,022.08, 1,410.45 and 579.97 is: 800.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.08 : 1,410.45 = 579.97 : x
  2. Step 2: Convert to fraction form
    1,022.08/1,410.45 = 579.97/x
  3. Step 3: Cross multiply
    1,022.08x = 1,410.45 × 579.97
  4. Step 4: Simplify right side
    1,022.08x = 818,018.69
  5. Step 5: Solve for x
    x = 818,018.69/1,022.08
  6. Step 6: Final answer
    x = 800.35

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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.