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Finding the Fourth Proportional to 1,225.73, 1,838.77 and 445.64

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Solution

The fourth proportional to 1,225.73, 1,838.77 and 445.64 is: 668.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.73 : 1,838.77 = 445.64 : x
  2. Step 2: Convert to fraction form
    1,225.73/1,838.77 = 445.64/x
  3. Step 3: Cross multiply
    1,225.73x = 1,838.77 × 445.64
  4. Step 4: Simplify right side
    1,225.73x = 819,419.15
  5. Step 5: Solve for x
    x = 819,419.15/1,225.73
  6. Step 6: Final answer
    x = 668.51

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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.