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Finding the Fourth Proportional to 879.04, 1,318.16 and 513.94

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Solution

The fourth proportional to 879.04, 1,318.16 and 513.94 is: 770.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.04 : 1,318.16 = 513.94 : x
  2. Step 2: Convert to fraction form
    879.04/1,318.16 = 513.94/x
  3. Step 3: Cross multiply
    879.04x = 1,318.16 × 513.94
  4. Step 4: Simplify right side
    879.04x = 677,452.58
  5. Step 5: Solve for x
    x = 677,452.58/879.04
  6. Step 6: Final answer
    x = 770.67

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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.