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Finding the Fourth Proportional to 1,011.59, 1,396.15 and 949.05

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Solution

The fourth proportional to 1,011.59, 1,396.15 and 949.05 is: 1,309.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.59 : 1,396.15 = 949.05 : x
  2. Step 2: Convert to fraction form
    1,011.59/1,396.15 = 949.05/x
  3. Step 3: Cross multiply
    1,011.59x = 1,396.15 × 949.05
  4. Step 4: Simplify right side
    1,011.59x = 1,325,016.16
  5. Step 5: Solve for x
    x = 1,325,016.16/1,011.59
  6. Step 6: Final answer
    x = 1,309.84

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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.