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Finding the Fourth Proportional to 1,003.30, 1,384.63 and 561.18

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Solution

The fourth proportional to 1,003.30, 1,384.63 and 561.18 is: 774.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.30 : 1,384.63 = 561.18 : x
  2. Step 2: Convert to fraction form
    1,003.30/1,384.63 = 561.18/x
  3. Step 3: Cross multiply
    1,003.30x = 1,384.63 × 561.18
  4. Step 4: Simplify right side
    1,003.30x = 777,025.03
  5. Step 5: Solve for x
    x = 777,025.03/1,003.30
  6. Step 6: Final answer
    x = 774.47

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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.