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Finding the Fourth Proportional to 1,219.79, 1,829.69 and 570.44

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Solution

The fourth proportional to 1,219.79, 1,829.69 and 570.44 is: 855.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.79 : 1,829.69 = 570.44 : x
  2. Step 2: Convert to fraction form
    1,219.79/1,829.69 = 570.44/x
  3. Step 3: Cross multiply
    1,219.79x = 1,829.69 × 570.44
  4. Step 4: Simplify right side
    1,219.79x = 1,043,732.22
  5. Step 5: Solve for x
    x = 1,043,732.22/1,219.79
  6. Step 6: Final answer
    x = 855.66

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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.