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Finding the Fourth Proportional to 1,083.97, 1,496.64 and 1,014.31

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Solution

The fourth proportional to 1,083.97, 1,496.64 and 1,014.31 is: 1,400.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.97 : 1,496.64 = 1,014.31 : x
  2. Step 2: Convert to fraction form
    1,083.97/1,496.64 = 1,014.31/x
  3. Step 3: Cross multiply
    1,083.97x = 1,496.64 × 1,014.31
  4. Step 4: Simplify right side
    1,083.97x = 1,518,056.92
  5. Step 5: Solve for x
    x = 1,518,056.92/1,083.97
  6. Step 6: Final answer
    x = 1,400.46

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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.