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Finding the Fourth Proportional to 974.21, 1,342.64 and 808.43

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Solution

The fourth proportional to 974.21, 1,342.64 and 808.43 is: 1,114.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.21 : 1,342.64 = 808.43 : x
  2. Step 2: Convert to fraction form
    974.21/1,342.64 = 808.43/x
  3. Step 3: Cross multiply
    974.21x = 1,342.64 × 808.43
  4. Step 4: Simplify right side
    974.21x = 1,085,425.76
  5. Step 5: Solve for x
    x = 1,085,425.76/974.21
  6. Step 6: Final answer
    x = 1,114.17

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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.