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Finding the Fourth Proportional to 829.84, 1,245.06 and 396.70

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Solution

The fourth proportional to 829.84, 1,245.06 and 396.70 is: 595.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.84 : 1,245.06 = 396.70 : x
  2. Step 2: Convert to fraction form
    829.84/1,245.06 = 396.70/x
  3. Step 3: Cross multiply
    829.84x = 1,245.06 × 396.70
  4. Step 4: Simplify right side
    829.84x = 493,909.08
  5. Step 5: Solve for x
    x = 493,909.08/829.84
  6. Step 6: Final answer
    x = 595.19

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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.