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Finding the Fourth Proportional to 940.29, 1,409.25 and 666.45

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Solution

The fourth proportional to 940.29, 1,409.25 and 666.45 is: 998.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.29 : 1,409.25 = 666.45 : x
  2. Step 2: Convert to fraction form
    940.29/1,409.25 = 666.45/x
  3. Step 3: Cross multiply
    940.29x = 1,409.25 × 666.45
  4. Step 4: Simplify right side
    940.29x = 939,194.66
  5. Step 5: Solve for x
    x = 939,194.66/940.29
  6. Step 6: Final answer
    x = 998.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.