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Finding the Fourth Proportional to 774.78, 1,069.83 and 601.98

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Solution

The fourth proportional to 774.78, 1,069.83 and 601.98 is: 831.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.78 : 1,069.83 = 601.98 : x
  2. Step 2: Convert to fraction form
    774.78/1,069.83 = 601.98/x
  3. Step 3: Cross multiply
    774.78x = 1,069.83 × 601.98
  4. Step 4: Simplify right side
    774.78x = 644,016.26
  5. Step 5: Solve for x
    x = 644,016.26/774.78
  6. Step 6: Final answer
    x = 831.22

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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.