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Finding the Fourth Proportional to 1,285.85, 1,928.86 and 636.41

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Solution

The fourth proportional to 1,285.85, 1,928.86 and 636.41 is: 954.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.85 : 1,928.86 = 636.41 : x
  2. Step 2: Convert to fraction form
    1,285.85/1,928.86 = 636.41/x
  3. Step 3: Cross multiply
    1,285.85x = 1,928.86 × 636.41
  4. Step 4: Simplify right side
    1,285.85x = 1,227,538.16
  5. Step 5: Solve for x
    x = 1,227,538.16/1,285.85
  6. Step 6: Final answer
    x = 954.65

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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.