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Finding the Fourth Proportional to 996.66, 1,493.64 and 448.16

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Solution

The fourth proportional to 996.66, 1,493.64 and 448.16 is: 671.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.66 : 1,493.64 = 448.16 : x
  2. Step 2: Convert to fraction form
    996.66/1,493.64 = 448.16/x
  3. Step 3: Cross multiply
    996.66x = 1,493.64 × 448.16
  4. Step 4: Simplify right side
    996.66x = 669,389.70
  5. Step 5: Solve for x
    x = 669,389.70/996.66
  6. Step 6: Final answer
    x = 671.63

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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.