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Finding the Fourth Proportional to 879.85, 1,319.37 and 509.68

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Solution

The fourth proportional to 879.85, 1,319.37 and 509.68 is: 764.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.85 : 1,319.37 = 509.68 : x
  2. Step 2: Convert to fraction form
    879.85/1,319.37 = 509.68/x
  3. Step 3: Cross multiply
    879.85x = 1,319.37 × 509.68
  4. Step 4: Simplify right side
    879.85x = 672,456.50
  5. Step 5: Solve for x
    x = 672,456.50/879.85
  6. Step 6: Final answer
    x = 764.29

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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.