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Finding the Fourth Proportional to 786.50, 1,181.49 and 513.02

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Solution

The fourth proportional to 786.50, 1,181.49 and 513.02 is: 770.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.50 : 1,181.49 = 513.02 : x
  2. Step 2: Convert to fraction form
    786.50/1,181.49 = 513.02/x
  3. Step 3: Cross multiply
    786.50x = 1,181.49 × 513.02
  4. Step 4: Simplify right side
    786.50x = 606,128.00
  5. Step 5: Solve for x
    x = 606,128.00/786.50
  6. Step 6: Final answer
    x = 770.66

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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.