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Finding the Fourth Proportional to 829.10, 1,144.17 and 456.09

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Solution

The fourth proportional to 829.10, 1,144.17 and 456.09 is: 629.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.10 : 1,144.17 = 456.09 : x
  2. Step 2: Convert to fraction form
    829.10/1,144.17 = 456.09/x
  3. Step 3: Cross multiply
    829.10x = 1,144.17 × 456.09
  4. Step 4: Simplify right side
    829.10x = 521,846.64
  5. Step 5: Solve for x
    x = 521,846.64/829.10
  6. Step 6: Final answer
    x = 629.41

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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.