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Finding the Fourth Proportional to 935.12, 1,289.64 and 768.36

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Solution

The fourth proportional to 935.12, 1,289.64 and 768.36 is: 1,059.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.12 : 1,289.64 = 768.36 : x
  2. Step 2: Convert to fraction form
    935.12/1,289.64 = 768.36/x
  3. Step 3: Cross multiply
    935.12x = 1,289.64 × 768.36
  4. Step 4: Simplify right side
    935.12x = 990,907.79
  5. Step 5: Solve for x
    x = 990,907.79/935.12
  6. Step 6: Final answer
    x = 1,059.66

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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.