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Finding the Fourth Proportional to 1,219.50, 1,828.44 and 569.88

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Solution

The fourth proportional to 1,219.50, 1,828.44 and 569.88 is: 854.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.50 : 1,828.44 = 569.88 : x
  2. Step 2: Convert to fraction form
    1,219.50/1,828.44 = 569.88/x
  3. Step 3: Cross multiply
    1,219.50x = 1,828.44 × 569.88
  4. Step 4: Simplify right side
    1,219.50x = 1,041,991.39
  5. Step 5: Solve for x
    x = 1,041,991.39/1,219.50
  6. Step 6: Final answer
    x = 854.44

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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.