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Finding the Fourth Proportional to 1,190.15, 1,643.74 and 1,005.20

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Solution

The fourth proportional to 1,190.15, 1,643.74 and 1,005.20 is: 1,388.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.15 : 1,643.74 = 1,005.20 : x
  2. Step 2: Convert to fraction form
    1,190.15/1,643.74 = 1,005.20/x
  3. Step 3: Cross multiply
    1,190.15x = 1,643.74 × 1,005.20
  4. Step 4: Simplify right side
    1,190.15x = 1,652,279.23
  5. Step 5: Solve for x
    x = 1,652,279.23/1,190.15
  6. Step 6: Final answer
    x = 1,388.30

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