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Finding the Fourth Proportional to 1,003.43, 1,384.81 and 561.41

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Solution

The fourth proportional to 1,003.43, 1,384.81 and 561.41 is: 774.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.43 : 1,384.81 = 561.41 : x
  2. Step 2: Convert to fraction form
    1,003.43/1,384.81 = 561.41/x
  3. Step 3: Cross multiply
    1,003.43x = 1,384.81 × 561.41
  4. Step 4: Simplify right side
    1,003.43x = 777,446.18
  5. Step 5: Solve for x
    x = 777,446.18/1,003.43
  6. Step 6: Final answer
    x = 774.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.