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Finding the Fourth Proportional to 1,219.03, 1,828.09 and 386.00

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Solution

The fourth proportional to 1,219.03, 1,828.09 and 386.00 is: 578.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.03 : 1,828.09 = 386.00 : x
  2. Step 2: Convert to fraction form
    1,219.03/1,828.09 = 386.00/x
  3. Step 3: Cross multiply
    1,219.03x = 1,828.09 × 386.00
  4. Step 4: Simplify right side
    1,219.03x = 705,632.63
  5. Step 5: Solve for x
    x = 705,632.63/1,219.03
  6. Step 6: Final answer
    x = 578.85

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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.