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Finding the Fourth Proportional to 1,004.04, 1,384.83 and 755.37

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Solution

The fourth proportional to 1,004.04, 1,384.83 and 755.37 is: 1,041.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.04 : 1,384.83 = 755.37 : x
  2. Step 2: Convert to fraction form
    1,004.04/1,384.83 = 755.37/x
  3. Step 3: Cross multiply
    1,004.04x = 1,384.83 × 755.37
  4. Step 4: Simplify right side
    1,004.04x = 1,046,059.04
  5. Step 5: Solve for x
    x = 1,046,059.04/1,004.04
  6. Step 6: Final answer
    x = 1,041.85

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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.