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Finding the Fourth Proportional to 743.44, 1,024.96 and 480.96

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Solution

The fourth proportional to 743.44, 1,024.96 and 480.96 is: 663.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.44 : 1,024.96 = 480.96 : x
  2. Step 2: Convert to fraction form
    743.44/1,024.96 = 480.96/x
  3. Step 3: Cross multiply
    743.44x = 1,024.96 × 480.96
  4. Step 4: Simplify right side
    743.44x = 492,964.76
  5. Step 5: Solve for x
    x = 492,964.76/743.44
  6. Step 6: Final answer
    x = 663.09

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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.