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Finding the Fourth Proportional to 1,205.96, 1,809.18 and 384.20

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Solution

The fourth proportional to 1,205.96, 1,809.18 and 384.20 is: 576.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.96 : 1,809.18 = 384.20 : x
  2. Step 2: Convert to fraction form
    1,205.96/1,809.18 = 384.20/x
  3. Step 3: Cross multiply
    1,205.96x = 1,809.18 × 384.20
  4. Step 4: Simplify right side
    1,205.96x = 695,086.96
  5. Step 5: Solve for x
    x = 695,086.96/1,205.96
  6. Step 6: Final answer
    x = 576.38

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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.