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Finding the Fourth Proportional to 874.75, 1,208.77 and 638.30

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Solution

The fourth proportional to 874.75, 1,208.77 and 638.30 is: 882.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.75 : 1,208.77 = 638.30 : x
  2. Step 2: Convert to fraction form
    874.75/1,208.77 = 638.30/x
  3. Step 3: Cross multiply
    874.75x = 1,208.77 × 638.30
  4. Step 4: Simplify right side
    874.75x = 771,556.30
  5. Step 5: Solve for x
    x = 771,556.30/874.75
  6. Step 6: Final answer
    x = 882.03

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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.