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Finding the Fourth Proportional to 1,013.50, 1,394.59 and 1,007.12

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Solution

The fourth proportional to 1,013.50, 1,394.59 and 1,007.12 is: 1,385.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.50 : 1,394.59 = 1,007.12 : x
  2. Step 2: Convert to fraction form
    1,013.50/1,394.59 = 1,007.12/x
  3. Step 3: Cross multiply
    1,013.50x = 1,394.59 × 1,007.12
  4. Step 4: Simplify right side
    1,013.50x = 1,404,517.33
  5. Step 5: Solve for x
    x = 1,404,517.33/1,013.50
  6. Step 6: Final answer
    x = 1,385.81

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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.