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Finding the Fourth Proportional to 884.21, 1,325.97 and 421.63

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Solution

The fourth proportional to 884.21, 1,325.97 and 421.63 is: 632.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.21 : 1,325.97 = 421.63 : x
  2. Step 2: Convert to fraction form
    884.21/1,325.97 = 421.63/x
  3. Step 3: Cross multiply
    884.21x = 1,325.97 × 421.63
  4. Step 4: Simplify right side
    884.21x = 559,068.73
  5. Step 5: Solve for x
    x = 559,068.73/884.21
  6. Step 6: Final answer
    x = 632.28

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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.