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Finding the Fourth Proportional to 1,016.02, 1,399.71 and 837.82

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Solution

The fourth proportional to 1,016.02, 1,399.71 and 837.82 is: 1,154.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.02 : 1,399.71 = 837.82 : x
  2. Step 2: Convert to fraction form
    1,016.02/1,399.71 = 837.82/x
  3. Step 3: Cross multiply
    1,016.02x = 1,399.71 × 837.82
  4. Step 4: Simplify right side
    1,016.02x = 1,172,705.03
  5. Step 5: Solve for x
    x = 1,172,705.03/1,016.02
  6. Step 6: Final answer
    x = 1,154.21

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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.