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Finding the Fourth Proportional to 1,379, 2,068.50 and 599.78

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Solution

The fourth proportional to 1,379, 2,068.50 and 599.78 is: 899.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,379 : 2,068.50 = 599.78 : x
  2. Step 2: Convert to fraction form
    1,379/2,068.50 = 599.78/x
  3. Step 3: Cross multiply
    1,379x = 2,068.50 × 599.78
  4. Step 4: Simplify right side
    1,379x = 1,240,644.93
  5. Step 5: Solve for x
    x = 1,240,644.93/1,379
  6. Step 6: Final answer
    x = 899.67

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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.