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Finding the Fourth Proportional to 829.26, 1,144.39 and 456.26

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Solution

The fourth proportional to 829.26, 1,144.39 and 456.26 is: 629.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.26 : 1,144.39 = 456.26 : x
  2. Step 2: Convert to fraction form
    829.26/1,144.39 = 456.26/x
  3. Step 3: Cross multiply
    829.26x = 1,144.39 × 456.26
  4. Step 4: Simplify right side
    829.26x = 522,136.52
  5. Step 5: Solve for x
    x = 522,136.52/829.26
  6. Step 6: Final answer
    x = 629.64

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Double scale
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1.5x scale

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.