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Finding the Fourth Proportional to 829.54, 1,244.62 and 342.60

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Solution

The fourth proportional to 829.54, 1,244.62 and 342.60 is: 514.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.54 : 1,244.62 = 342.60 : x
  2. Step 2: Convert to fraction form
    829.54/1,244.62 = 342.60/x
  3. Step 3: Cross multiply
    829.54x = 1,244.62 × 342.60
  4. Step 4: Simplify right side
    829.54x = 426,406.81
  5. Step 5: Solve for x
    x = 426,406.81/829.54
  6. Step 6: Final answer
    x = 514.03

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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.