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Finding the Fourth Proportional to 958.86, 1,438.56 and 382.14

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Solution

The fourth proportional to 958.86, 1,438.56 and 382.14 is: 573.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.86 : 1,438.56 = 382.14 : x
  2. Step 2: Convert to fraction form
    958.86/1,438.56 = 382.14/x
  3. Step 3: Cross multiply
    958.86x = 1,438.56 × 382.14
  4. Step 4: Simplify right side
    958.86x = 549,731.32
  5. Step 5: Solve for x
    x = 549,731.32/958.86
  6. Step 6: Final answer
    x = 573.32

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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.