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Finding the Fourth Proportional to 774.00, 1,067.74 and 512.23

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Solution

The fourth proportional to 774.00, 1,067.74 and 512.23 is: 706.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.00 : 1,067.74 = 512.23 : x
  2. Step 2: Convert to fraction form
    774.00/1,067.74 = 512.23/x
  3. Step 3: Cross multiply
    774.00x = 1,067.74 × 512.23
  4. Step 4: Simplify right side
    774.00x = 546,931.77
  5. Step 5: Solve for x
    x = 546,931.77/774.00
  6. Step 6: Final answer
    x = 706.63

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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.