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Finding the Fourth Proportional to 513.40, 770.70 and 509.80

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Solution

The fourth proportional to 513.40, 770.70 and 509.80 is: 765.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.40 : 770.70 = 509.80 : x
  2. Step 2: Convert to fraction form
    513.40/770.70 = 509.80/x
  3. Step 3: Cross multiply
    513.40x = 770.70 × 509.80
  4. Step 4: Simplify right side
    513.40x = 392,902.86
  5. Step 5: Solve for x
    x = 392,902.86/513.40
  6. Step 6: Final answer
    x = 765.30

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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.