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Finding the Fourth Proportional to 958.74, 1,438.75 and 411.05

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Solution

The fourth proportional to 958.74, 1,438.75 and 411.05 is: 616.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.74 : 1,438.75 = 411.05 : x
  2. Step 2: Convert to fraction form
    958.74/1,438.75 = 411.05/x
  3. Step 3: Cross multiply
    958.74x = 1,438.75 × 411.05
  4. Step 4: Simplify right side
    958.74x = 591,398.19
  5. Step 5: Solve for x
    x = 591,398.19/958.74
  6. Step 6: Final answer
    x = 616.85

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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.