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Finding the Fourth Proportional to 1,383.58, 2,074.29 and 517.78

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Solution

The fourth proportional to 1,383.58, 2,074.29 and 517.78 is: 776.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.58 : 2,074.29 = 517.78 : x
  2. Step 2: Convert to fraction form
    1,383.58/2,074.29 = 517.78/x
  3. Step 3: Cross multiply
    1,383.58x = 2,074.29 × 517.78
  4. Step 4: Simplify right side
    1,383.58x = 1,074,025.88
  5. Step 5: Solve for x
    x = 1,074,025.88/1,383.58
  6. Step 6: Final answer
    x = 776.27

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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.