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Finding the Fourth Proportional to 949.40, 1,311.54 and 942.08

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Solution

The fourth proportional to 949.40, 1,311.54 and 942.08 is: 1,301.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.40 : 1,311.54 = 942.08 : x
  2. Step 2: Convert to fraction form
    949.40/1,311.54 = 942.08/x
  3. Step 3: Cross multiply
    949.40x = 1,311.54 × 942.08
  4. Step 4: Simplify right side
    949.40x = 1,235,575.60
  5. Step 5: Solve for x
    x = 1,235,575.60/949.40
  6. Step 6: Final answer
    x = 1,301.43

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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.