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Finding the Fourth Proportional to 1,181.43, 1,630.28 and 650.21

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Solution

The fourth proportional to 1,181.43, 1,630.28 and 650.21 is: 897.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.43 : 1,630.28 = 650.21 : x
  2. Step 2: Convert to fraction form
    1,181.43/1,630.28 = 650.21/x
  3. Step 3: Cross multiply
    1,181.43x = 1,630.28 × 650.21
  4. Step 4: Simplify right side
    1,181.43x = 1,060,012.96
  5. Step 5: Solve for x
    x = 1,060,012.96/1,181.43
  6. Step 6: Final answer
    x = 897.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.