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Finding the Fourth Proportional to 1,199.47, 1,796.42 and 1,157.90

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Solution

The fourth proportional to 1,199.47, 1,796.42 and 1,157.90 is: 1,734.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.47 : 1,796.42 = 1,157.90 : x
  2. Step 2: Convert to fraction form
    1,199.47/1,796.42 = 1,157.90/x
  3. Step 3: Cross multiply
    1,199.47x = 1,796.42 × 1,157.90
  4. Step 4: Simplify right side
    1,199.47x = 2,080,071.03
  5. Step 5: Solve for x
    x = 2,080,071.03/1,199.47
  6. Step 6: Final answer
    x = 1,734.16

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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.