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Finding the Fourth Proportional to 1,222.60, 1,834.02 and 442.66

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Solution

The fourth proportional to 1,222.60, 1,834.02 and 442.66 is: 664.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.60 : 1,834.02 = 442.66 : x
  2. Step 2: Convert to fraction form
    1,222.60/1,834.02 = 442.66/x
  3. Step 3: Cross multiply
    1,222.60x = 1,834.02 × 442.66
  4. Step 4: Simplify right side
    1,222.60x = 811,847.29
  5. Step 5: Solve for x
    x = 811,847.29/1,222.60
  6. Step 6: Final answer
    x = 664.03

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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.