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Finding the Fourth Proportional to 1,410.73, 2,116.23 and 588.99

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Solution

The fourth proportional to 1,410.73, 2,116.23 and 588.99 is: 883.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.73 : 2,116.23 = 588.99 : x
  2. Step 2: Convert to fraction form
    1,410.73/2,116.23 = 588.99/x
  3. Step 3: Cross multiply
    1,410.73x = 2,116.23 × 588.99
  4. Step 4: Simplify right side
    1,410.73x = 1,246,438.31
  5. Step 5: Solve for x
    x = 1,246,438.31/1,410.73
  6. Step 6: Final answer
    x = 883.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.