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Finding the Fourth Proportional to 1,588.30, 2,383.12 and 664.06

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Solution

The fourth proportional to 1,588.30, 2,383.12 and 664.06 is: 996.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.30 : 2,383.12 = 664.06 : x
  2. Step 2: Convert to fraction form
    1,588.30/2,383.12 = 664.06/x
  3. Step 3: Cross multiply
    1,588.30x = 2,383.12 × 664.06
  4. Step 4: Simplify right side
    1,588.30x = 1,582,534.67
  5. Step 5: Solve for x
    x = 1,582,534.67/1,588.30
  6. Step 6: Final answer
    x = 996.37

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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.