Home / 1,022.38-1,410.93-580.36

Finding the Fourth Proportional to 1,022.38, 1,410.93 and 580.36

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Solution

The fourth proportional to 1,022.38, 1,410.93 and 580.36 is: 800.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.38 : 1,410.93 = 580.36 : x
  2. Step 2: Convert to fraction form
    1,022.38/1,410.93 = 580.36/x
  3. Step 3: Cross multiply
    1,022.38x = 1,410.93 × 580.36
  4. Step 4: Simplify right side
    1,022.38x = 818,847.33
  5. Step 5: Solve for x
    x = 818,847.33/1,022.38
  6. Step 6: Final answer
    x = 800.92

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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.