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Finding the Fourth Proportional to 879.32, 1,319.21 and 514.36

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Solution

The fourth proportional to 879.32, 1,319.21 and 514.36 is: 771.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.32 : 1,319.21 = 514.36 : x
  2. Step 2: Convert to fraction form
    879.32/1,319.21 = 514.36/x
  3. Step 3: Cross multiply
    879.32x = 1,319.21 × 514.36
  4. Step 4: Simplify right side
    879.32x = 678,548.86
  5. Step 5: Solve for x
    x = 678,548.86/879.32
  6. Step 6: Final answer
    x = 771.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.