Home / 842.03-1,263.09-257.05

Finding the Fourth Proportional to 842.03, 1,263.09 and 257.05

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Solution

The fourth proportional to 842.03, 1,263.09 and 257.05 is: 385.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.03 : 1,263.09 = 257.05 : x
  2. Step 2: Convert to fraction form
    842.03/1,263.09 = 257.05/x
  3. Step 3: Cross multiply
    842.03x = 1,263.09 × 257.05
  4. Step 4: Simplify right side
    842.03x = 324,679.83
  5. Step 5: Solve for x
    x = 324,679.83/842.03
  6. Step 6: Final answer
    x = 385.59

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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.