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Finding the Fourth Proportional to 1,171.16, 1,611.40 and 1,013.28

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Solution

The fourth proportional to 1,171.16, 1,611.40 and 1,013.28 is: 1,394.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.16 : 1,611.40 = 1,013.28 : x
  2. Step 2: Convert to fraction form
    1,171.16/1,611.40 = 1,013.28/x
  3. Step 3: Cross multiply
    1,171.16x = 1,611.40 × 1,013.28
  4. Step 4: Simplify right side
    1,171.16x = 1,632,799.39
  5. Step 5: Solve for x
    x = 1,632,799.39/1,171.16
  6. Step 6: Final answer
    x = 1,394.17

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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.