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Finding the Fourth Proportional to 743.44, 1,113.24 and 513.04

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Solution

The fourth proportional to 743.44, 1,113.24 and 513.04 is: 768.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.44 : 1,113.24 = 513.04 : x
  2. Step 2: Convert to fraction form
    743.44/1,113.24 = 513.04/x
  3. Step 3: Cross multiply
    743.44x = 1,113.24 × 513.04
  4. Step 4: Simplify right side
    743.44x = 571,136.65
  5. Step 5: Solve for x
    x = 571,136.65/743.44
  6. Step 6: Final answer
    x = 768.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.