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Finding the Fourth Proportional to 1,152.86, 1,729.96 and 422.48

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Solution

The fourth proportional to 1,152.86, 1,729.96 and 422.48 is: 633.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.86 : 1,729.96 = 422.48 : x
  2. Step 2: Convert to fraction form
    1,152.86/1,729.96 = 422.48/x
  3. Step 3: Cross multiply
    1,152.86x = 1,729.96 × 422.48
  4. Step 4: Simplify right side
    1,152.86x = 730,876.77
  5. Step 5: Solve for x
    x = 730,876.77/1,152.86
  6. Step 6: Final answer
    x = 633.97

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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.