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Finding the Fourth Proportional to 1,328.34, 1,991.84 and 403.72

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Solution

The fourth proportional to 1,328.34, 1,991.84 and 403.72 is: 605.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.34 : 1,991.84 = 403.72 : x
  2. Step 2: Convert to fraction form
    1,328.34/1,991.84 = 403.72/x
  3. Step 3: Cross multiply
    1,328.34x = 1,991.84 × 403.72
  4. Step 4: Simplify right side
    1,328.34x = 804,145.64
  5. Step 5: Solve for x
    x = 804,145.64/1,328.34
  6. Step 6: Final answer
    x = 605.38

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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.