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Finding the Fourth Proportional to 1,219.46, 1,829.19 and 570.65

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Solution

The fourth proportional to 1,219.46, 1,829.19 and 570.65 is: 855.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.46 : 1,829.19 = 570.65 : x
  2. Step 2: Convert to fraction form
    1,219.46/1,829.19 = 570.65/x
  3. Step 3: Cross multiply
    1,219.46x = 1,829.19 × 570.65
  4. Step 4: Simplify right side
    1,219.46x = 1,043,821.27
  5. Step 5: Solve for x
    x = 1,043,821.27/1,219.46
  6. Step 6: Final answer
    x = 855.97

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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.