Home / 1,057.24-1,582.60-826.80

Finding the Fourth Proportional to 1,057.24, 1,582.60 and 826.80

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Solution

The fourth proportional to 1,057.24, 1,582.60 and 826.80 is: 1,237.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.24 : 1,582.60 = 826.80 : x
  2. Step 2: Convert to fraction form
    1,057.24/1,582.60 = 826.80/x
  3. Step 3: Cross multiply
    1,057.24x = 1,582.60 × 826.80
  4. Step 4: Simplify right side
    1,057.24x = 1,308,493.68
  5. Step 5: Solve for x
    x = 1,308,493.68/1,057.24
  6. Step 6: Final answer
    x = 1,237.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.