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Finding the Fourth Proportional to 829.56, 1,244.76 and 397.08

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Solution

The fourth proportional to 829.56, 1,244.76 and 397.08 is: 595.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.56 : 1,244.76 = 397.08 : x
  2. Step 2: Convert to fraction form
    829.56/1,244.76 = 397.08/x
  3. Step 3: Cross multiply
    829.56x = 1,244.76 × 397.08
  4. Step 4: Simplify right side
    829.56x = 494,269.30
  5. Step 5: Solve for x
    x = 494,269.30/829.56
  6. Step 6: Final answer
    x = 595.82

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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.