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Finding the Fourth Proportional to 950.64, 1,311.44 and 601.13

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Solution

The fourth proportional to 950.64, 1,311.44 and 601.13 is: 829.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.64 : 1,311.44 = 601.13 : x
  2. Step 2: Convert to fraction form
    950.64/1,311.44 = 601.13/x
  3. Step 3: Cross multiply
    950.64x = 1,311.44 × 601.13
  4. Step 4: Simplify right side
    950.64x = 788,336.36
  5. Step 5: Solve for x
    x = 788,336.36/950.64
  6. Step 6: Final answer
    x = 829.27

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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.