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Finding the Fourth Proportional to 1,225.72, 1,838.56 and 445.69

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Solution

The fourth proportional to 1,225.72, 1,838.56 and 445.69 is: 668.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.72 : 1,838.56 = 445.69 : x
  2. Step 2: Convert to fraction form
    1,225.72/1,838.56 = 445.69/x
  3. Step 3: Cross multiply
    1,225.72x = 1,838.56 × 445.69
  4. Step 4: Simplify right side
    1,225.72x = 819,427.81
  5. Step 5: Solve for x
    x = 819,427.81/1,225.72
  6. Step 6: Final answer
    x = 668.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.