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Finding the Fourth Proportional to 774.04, 1,067.12 and 524.98

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Solution

The fourth proportional to 774.04, 1,067.12 and 524.98 is: 723.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.04 : 1,067.12 = 524.98 : x
  2. Step 2: Convert to fraction form
    774.04/1,067.12 = 524.98/x
  3. Step 3: Cross multiply
    774.04x = 1,067.12 × 524.98
  4. Step 4: Simplify right side
    774.04x = 560,216.66
  5. Step 5: Solve for x
    x = 560,216.66/774.04
  6. Step 6: Final answer
    x = 723.76

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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.