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Finding the Fourth Proportional to 995.83, 1,494.14 and 448.27

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Solution

The fourth proportional to 995.83, 1,494.14 and 448.27 is: 672.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.83 : 1,494.14 = 448.27 : x
  2. Step 2: Convert to fraction form
    995.83/1,494.14 = 448.27/x
  3. Step 3: Cross multiply
    995.83x = 1,494.14 × 448.27
  4. Step 4: Simplify right side
    995.83x = 669,770.11
  5. Step 5: Solve for x
    x = 669,770.11/995.83
  6. Step 6: Final answer
    x = 672.58

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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.