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Finding the Fourth Proportional to 1,219.30, 1,830.30 and 757.60

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Solution

The fourth proportional to 1,219.30, 1,830.30 and 757.60 is: 1,137.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.30 : 1,830.30 = 757.60 : x
  2. Step 2: Convert to fraction form
    1,219.30/1,830.30 = 757.60/x
  3. Step 3: Cross multiply
    1,219.30x = 1,830.30 × 757.60
  4. Step 4: Simplify right side
    1,219.30x = 1,386,635.28
  5. Step 5: Solve for x
    x = 1,386,635.28/1,219.30
  6. Step 6: Final answer
    x = 1,137.24

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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.