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Finding the Fourth Proportional to 1,219.63, 1,829.63 and 353.83

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Solution

The fourth proportional to 1,219.63, 1,829.63 and 353.83 is: 530.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.63 : 1,829.63 = 353.83 : x
  2. Step 2: Convert to fraction form
    1,219.63/1,829.63 = 353.83/x
  3. Step 3: Cross multiply
    1,219.63x = 1,829.63 × 353.83
  4. Step 4: Simplify right side
    1,219.63x = 647,377.98
  5. Step 5: Solve for x
    x = 647,377.98/1,219.63
  6. Step 6: Final answer
    x = 530.80

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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.