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Finding the Fourth Proportional to 1,222.60, 1,833.62 and 729.15

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Solution

The fourth proportional to 1,222.60, 1,833.62 and 729.15 is: 1,093.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.60 : 1,833.62 = 729.15 : x
  2. Step 2: Convert to fraction form
    1,222.60/1,833.62 = 729.15/x
  3. Step 3: Cross multiply
    1,222.60x = 1,833.62 × 729.15
  4. Step 4: Simplify right side
    1,222.60x = 1,336,984.02
  5. Step 5: Solve for x
    x = 1,336,984.02/1,222.60
  6. Step 6: Final answer
    x = 1,093.56

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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.