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Finding the Fourth Proportional to 1,287.42, 1,776.63 and 1,007.94

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Solution

The fourth proportional to 1,287.42, 1,776.63 and 1,007.94 is: 1,390.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.42 : 1,776.63 = 1,007.94 : x
  2. Step 2: Convert to fraction form
    1,287.42/1,776.63 = 1,007.94/x
  3. Step 3: Cross multiply
    1,287.42x = 1,776.63 × 1,007.94
  4. Step 4: Simplify right side
    1,287.42x = 1,790,736.44
  5. Step 5: Solve for x
    x = 1,790,736.44/1,287.42
  6. Step 6: Final answer
    x = 1,390.95

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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.