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Finding the Fourth Proportional to 950.34, 1,310.79 and 619.05

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Solution

The fourth proportional to 950.34, 1,310.79 and 619.05 is: 853.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.34 : 1,310.79 = 619.05 : x
  2. Step 2: Convert to fraction form
    950.34/1,310.79 = 619.05/x
  3. Step 3: Cross multiply
    950.34x = 1,310.79 × 619.05
  4. Step 4: Simplify right side
    950.34x = 811,444.55
  5. Step 5: Solve for x
    x = 811,444.55/950.34
  6. Step 6: Final answer
    x = 853.85

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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.