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Finding the Fourth Proportional to 1,199.56, 1,799.64 and 377.80

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Solution

The fourth proportional to 1,199.56, 1,799.64 and 377.80 is: 566.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.56 : 1,799.64 = 377.80 : x
  2. Step 2: Convert to fraction form
    1,199.56/1,799.64 = 377.80/x
  3. Step 3: Cross multiply
    1,199.56x = 1,799.64 × 377.80
  4. Step 4: Simplify right side
    1,199.56x = 679,903.99
  5. Step 5: Solve for x
    x = 679,903.99/1,199.56
  6. Step 6: Final answer
    x = 566.79

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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.