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Finding the Fourth Proportional to 1,219.11, 1,829.48 and 569.90

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Solution

The fourth proportional to 1,219.11, 1,829.48 and 569.90 is: 855.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.11 : 1,829.48 = 569.90 : x
  2. Step 2: Convert to fraction form
    1,219.11/1,829.48 = 569.90/x
  3. Step 3: Cross multiply
    1,219.11x = 1,829.48 × 569.90
  4. Step 4: Simplify right side
    1,219.11x = 1,042,608.66
  5. Step 5: Solve for x
    x = 1,042,608.66/1,219.11
  6. Step 6: Final answer
    x = 855.22

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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.