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Finding the Fourth Proportional to 1,168.02, 1,611.36 and 819.18

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Solution

The fourth proportional to 1,168.02, 1,611.36 and 819.18 is: 1,130.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.02 : 1,611.36 = 819.18 : x
  2. Step 2: Convert to fraction form
    1,168.02/1,611.36 = 819.18/x
  3. Step 3: Cross multiply
    1,168.02x = 1,611.36 × 819.18
  4. Step 4: Simplify right side
    1,168.02x = 1,319,993.88
  5. Step 5: Solve for x
    x = 1,319,993.88/1,168.02
  6. Step 6: Final answer
    x = 1,130.11

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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.