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Finding the Fourth Proportional to 1,328.48, 1,990.89 and 1,003.49

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Solution

The fourth proportional to 1,328.48, 1,990.89 and 1,003.49 is: 1,503.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.48 : 1,990.89 = 1,003.49 : x
  2. Step 2: Convert to fraction form
    1,328.48/1,990.89 = 1,003.49/x
  3. Step 3: Cross multiply
    1,328.48x = 1,990.89 × 1,003.49
  4. Step 4: Simplify right side
    1,328.48x = 1,997,838.21
  5. Step 5: Solve for x
    x = 1,997,838.21/1,328.48
  6. Step 6: Final answer
    x = 1,503.85

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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.