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Finding the Fourth Proportional to 774.78, 1,069.22 and 425.48

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Solution

The fourth proportional to 774.78, 1,069.22 and 425.48 is: 587.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.78 : 1,069.22 = 425.48 : x
  2. Step 2: Convert to fraction form
    774.78/1,069.22 = 425.48/x
  3. Step 3: Cross multiply
    774.78x = 1,069.22 × 425.48
  4. Step 4: Simplify right side
    774.78x = 454,924.25
  5. Step 5: Solve for x
    x = 454,924.25/774.78
  6. Step 6: Final answer
    x = 587.17

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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.