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Finding the Fourth Proportional to 1,003.52, 1,384.92 and 561.48

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Solution

The fourth proportional to 1,003.52, 1,384.92 and 561.48 is: 774.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.52 : 1,384.92 = 561.48 : x
  2. Step 2: Convert to fraction form
    1,003.52/1,384.92 = 561.48/x
  3. Step 3: Cross multiply
    1,003.52x = 1,384.92 × 561.48
  4. Step 4: Simplify right side
    1,003.52x = 777,604.88
  5. Step 5: Solve for x
    x = 777,604.88/1,003.52
  6. Step 6: Final answer
    x = 774.88

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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.