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Finding the Fourth Proportional to 940.82, 1,407.58 and 631.19

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Solution

The fourth proportional to 940.82, 1,407.58 and 631.19 is: 944.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.82 : 1,407.58 = 631.19 : x
  2. Step 2: Convert to fraction form
    940.82/1,407.58 = 631.19/x
  3. Step 3: Cross multiply
    940.82x = 1,407.58 × 631.19
  4. Step 4: Simplify right side
    940.82x = 888,452.36
  5. Step 5: Solve for x
    x = 888,452.36/940.82
  6. Step 6: Final answer
    x = 944.34

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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.