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Finding the Fourth Proportional to 950.37, 1,311.69 and 619.08

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Solution

The fourth proportional to 950.37, 1,311.69 and 619.08 is: 854.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.37 : 1,311.69 = 619.08 : x
  2. Step 2: Convert to fraction form
    950.37/1,311.69 = 619.08/x
  3. Step 3: Cross multiply
    950.37x = 1,311.69 × 619.08
  4. Step 4: Simplify right side
    950.37x = 812,041.05
  5. Step 5: Solve for x
    x = 812,041.05/950.37
  6. Step 6: Final answer
    x = 854.45

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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.