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Finding the Fourth Proportional to 1,194.06, 1,646.40 and 1,007.22

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Solution

The fourth proportional to 1,194.06, 1,646.40 and 1,007.22 is: 1,388.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.06 : 1,646.40 = 1,007.22 : x
  2. Step 2: Convert to fraction form
    1,194.06/1,646.40 = 1,007.22/x
  3. Step 3: Cross multiply
    1,194.06x = 1,646.40 × 1,007.22
  4. Step 4: Simplify right side
    1,194.06x = 1,658,287.01
  5. Step 5: Solve for x
    x = 1,658,287.01/1,194.06
  6. Step 6: Final answer
    x = 1,388.78

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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.