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Finding the Fourth Proportional to 935.41, 1,289.67 and 786.61

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Solution

The fourth proportional to 935.41, 1,289.67 and 786.61 is: 1,084.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.41 : 1,289.67 = 786.61 : x
  2. Step 2: Convert to fraction form
    935.41/1,289.67 = 786.61/x
  3. Step 3: Cross multiply
    935.41x = 1,289.67 × 786.61
  4. Step 4: Simplify right side
    935.41x = 1,014,467.32
  5. Step 5: Solve for x
    x = 1,014,467.32/935.41
  6. Step 6: Final answer
    x = 1,084.52

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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.