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Finding the Fourth Proportional to 1,328.84, 1,992.33 and 588.09

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Solution

The fourth proportional to 1,328.84, 1,992.33 and 588.09 is: 881.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.84 : 1,992.33 = 588.09 : x
  2. Step 2: Convert to fraction form
    1,328.84/1,992.33 = 588.09/x
  3. Step 3: Cross multiply
    1,328.84x = 1,992.33 × 588.09
  4. Step 4: Simplify right side
    1,328.84x = 1,171,669.35
  5. Step 5: Solve for x
    x = 1,171,669.35/1,328.84
  6. Step 6: Final answer
    x = 881.73

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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.