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Finding the Fourth Proportional to 774.27, 1,069.34 and 480.24

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Solution

The fourth proportional to 774.27, 1,069.34 and 480.24 is: 663.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.27 : 1,069.34 = 480.24 : x
  2. Step 2: Convert to fraction form
    774.27/1,069.34 = 480.24/x
  3. Step 3: Cross multiply
    774.27x = 1,069.34 × 480.24
  4. Step 4: Simplify right side
    774.27x = 513,537.44
  5. Step 5: Solve for x
    x = 513,537.44/774.27
  6. Step 6: Final answer
    x = 663.25

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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.