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Finding the Fourth Proportional to 1,153.14, 1,729.36 and 422.54

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Solution

The fourth proportional to 1,153.14, 1,729.36 and 422.54 is: 633.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.14 : 1,729.36 = 422.54 : x
  2. Step 2: Convert to fraction form
    1,153.14/1,729.36 = 422.54/x
  3. Step 3: Cross multiply
    1,153.14x = 1,729.36 × 422.54
  4. Step 4: Simplify right side
    1,153.14x = 730,722.14
  5. Step 5: Solve for x
    x = 730,722.14/1,153.14
  6. Step 6: Final answer
    x = 633.68

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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.