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Finding the Fourth Proportional to 1,028.73, 1,420.11 and 715.05

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Solution

The fourth proportional to 1,028.73, 1,420.11 and 715.05 is: 987.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.73 : 1,420.11 = 715.05 : x
  2. Step 2: Convert to fraction form
    1,028.73/1,420.11 = 715.05/x
  3. Step 3: Cross multiply
    1,028.73x = 1,420.11 × 715.05
  4. Step 4: Simplify right side
    1,028.73x = 1,015,449.66
  5. Step 5: Solve for x
    x = 1,015,449.66/1,028.73
  6. Step 6: Final answer
    x = 987.09

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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.