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Finding the Fourth Proportional to 1,008.73, 1,399.13 and 971.83

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Solution

The fourth proportional to 1,008.73, 1,399.13 and 971.83 is: 1,347.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.73 : 1,399.13 = 971.83 : x
  2. Step 2: Convert to fraction form
    1,008.73/1,399.13 = 971.83/x
  3. Step 3: Cross multiply
    1,008.73x = 1,399.13 × 971.83
  4. Step 4: Simplify right side
    1,008.73x = 1,359,716.51
  5. Step 5: Solve for x
    x = 1,359,716.51/1,008.73
  6. Step 6: Final answer
    x = 1,347.95

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.