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Finding the Fourth Proportional to 842.22, 1,263.96 and 431.71

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Solution

The fourth proportional to 842.22, 1,263.96 and 431.71 is: 647.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.22 : 1,263.96 = 431.71 : x
  2. Step 2: Convert to fraction form
    842.22/1,263.96 = 431.71/x
  3. Step 3: Cross multiply
    842.22x = 1,263.96 × 431.71
  4. Step 4: Simplify right side
    842.22x = 545,664.17
  5. Step 5: Solve for x
    x = 545,664.17/842.22
  6. Step 6: Final answer
    x = 647.89

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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.