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Finding the Fourth Proportional to 964.86, 1,448.50 and 445.38

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Solution

The fourth proportional to 964.86, 1,448.50 and 445.38 is: 668.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.86 : 1,448.50 = 445.38 : x
  2. Step 2: Convert to fraction form
    964.86/1,448.50 = 445.38/x
  3. Step 3: Cross multiply
    964.86x = 1,448.50 × 445.38
  4. Step 4: Simplify right side
    964.86x = 645,132.93
  5. Step 5: Solve for x
    x = 645,132.93/964.86
  6. Step 6: Final answer
    x = 668.63

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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.