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Finding the Fourth Proportional to 999.80, 1,379.84 and 580.15

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Solution

The fourth proportional to 999.80, 1,379.84 and 580.15 is: 800.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.80 : 1,379.84 = 580.15 : x
  2. Step 2: Convert to fraction form
    999.80/1,379.84 = 580.15/x
  3. Step 3: Cross multiply
    999.80x = 1,379.84 × 580.15
  4. Step 4: Simplify right side
    999.80x = 800,514.18
  5. Step 5: Solve for x
    x = 800,514.18/999.80
  6. Step 6: Final answer
    x = 800.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.