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Finding the Fourth Proportional to 874.76, 1,206.03 and 641.48

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Solution

The fourth proportional to 874.76, 1,206.03 and 641.48 is: 884.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.76 : 1,206.03 = 641.48 : x
  2. Step 2: Convert to fraction form
    874.76/1,206.03 = 641.48/x
  3. Step 3: Cross multiply
    874.76x = 1,206.03 × 641.48
  4. Step 4: Simplify right side
    874.76x = 773,644.12
  5. Step 5: Solve for x
    x = 773,644.12/874.76
  6. Step 6: Final answer
    x = 884.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.