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Finding the Fourth Proportional to 953, 1,427.26 and 799.91

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Solution

The fourth proportional to 953, 1,427.26 and 799.91 is: 1,197.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    953 : 1,427.26 = 799.91 : x
  2. Step 2: Convert to fraction form
    953/1,427.26 = 799.91/x
  3. Step 3: Cross multiply
    953x = 1,427.26 × 799.91
  4. Step 4: Simplify right side
    953x = 1,141,679.55
  5. Step 5: Solve for x
    x = 1,141,679.55/953
  6. Step 6: Final answer
    x = 1,197.98

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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.