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Finding the Fourth Proportional to 774.56, 1,069.00 and 513.14

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Solution

The fourth proportional to 774.56, 1,069.00 and 513.14 is: 708.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.56 : 1,069.00 = 513.14 : x
  2. Step 2: Convert to fraction form
    774.56/1,069.00 = 513.14/x
  3. Step 3: Cross multiply
    774.56x = 1,069.00 × 513.14
  4. Step 4: Simplify right side
    774.56x = 548,540.03
  5. Step 5: Solve for x
    x = 548,540.03/774.56
  6. Step 6: Final answer
    x = 708.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.