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Finding the Fourth Proportional to 1,217.42, 1,824.32 and 729.90

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Solution

The fourth proportional to 1,217.42, 1,824.32 and 729.90 is: 1,093.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.42 : 1,824.32 = 729.90 : x
  2. Step 2: Convert to fraction form
    1,217.42/1,824.32 = 729.90/x
  3. Step 3: Cross multiply
    1,217.42x = 1,824.32 × 729.90
  4. Step 4: Simplify right side
    1,217.42x = 1,331,571.17
  5. Step 5: Solve for x
    x = 1,331,571.17/1,217.42
  6. Step 6: Final answer
    x = 1,093.76

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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.