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Finding the Fourth Proportional to 1,219.81, 1,829.99 and 570.19

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Solution

The fourth proportional to 1,219.81, 1,829.99 and 570.19 is: 855.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.81 : 1,829.99 = 570.19 : x
  2. Step 2: Convert to fraction form
    1,219.81/1,829.99 = 570.19/x
  3. Step 3: Cross multiply
    1,219.81x = 1,829.99 × 570.19
  4. Step 4: Simplify right side
    1,219.81x = 1,043,434.57
  5. Step 5: Solve for x
    x = 1,043,434.57/1,219.81
  6. Step 6: Final answer
    x = 855.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.