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Finding the Fourth Proportional to 995.81, 1,493.89 and 448.25

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Solution

The fourth proportional to 995.81, 1,493.89 and 448.25 is: 672.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.81 : 1,493.89 = 448.25 : x
  2. Step 2: Convert to fraction form
    995.81/1,493.89 = 448.25/x
  3. Step 3: Cross multiply
    995.81x = 1,493.89 × 448.25
  4. Step 4: Simplify right side
    995.81x = 669,627.60
  5. Step 5: Solve for x
    x = 669,627.60/995.81
  6. Step 6: Final answer
    x = 672.45

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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.