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Finding the Fourth Proportional to 829.24, 1,244.05 and 309.26

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Solution

The fourth proportional to 829.24, 1,244.05 and 309.26 is: 463.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.24 : 1,244.05 = 309.26 : x
  2. Step 2: Convert to fraction form
    829.24/1,244.05 = 309.26/x
  3. Step 3: Cross multiply
    829.24x = 1,244.05 × 309.26
  4. Step 4: Simplify right side
    829.24x = 384,734.90
  5. Step 5: Solve for x
    x = 384,734.90/829.24
  6. Step 6: Final answer
    x = 463.96

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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.