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Finding the Fourth Proportional to 829.79, 1,244.70 and 213.50

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Solution

The fourth proportional to 829.79, 1,244.70 and 213.50 is: 320.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.79 : 1,244.70 = 213.50 : x
  2. Step 2: Convert to fraction form
    829.79/1,244.70 = 213.50/x
  3. Step 3: Cross multiply
    829.79x = 1,244.70 × 213.50
  4. Step 4: Simplify right side
    829.79x = 265,743.45
  5. Step 5: Solve for x
    x = 265,743.45/829.79
  6. Step 6: Final answer
    x = 320.25

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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.