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Finding the Fourth Proportional to 1,196.64, 1,654.20 and 949.68

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Solution

The fourth proportional to 1,196.64, 1,654.20 and 949.68 is: 1,312.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.64 : 1,654.20 = 949.68 : x
  2. Step 2: Convert to fraction form
    1,196.64/1,654.20 = 949.68/x
  3. Step 3: Cross multiply
    1,196.64x = 1,654.20 × 949.68
  4. Step 4: Simplify right side
    1,196.64x = 1,570,960.66
  5. Step 5: Solve for x
    x = 1,570,960.66/1,196.64
  6. Step 6: Final answer
    x = 1,312.81

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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.