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Finding the Fourth Proportional to 829.59, 1,243.77 and 397.05

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Solution

The fourth proportional to 829.59, 1,243.77 and 397.05 is: 595.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.59 : 1,243.77 = 397.05 : x
  2. Step 2: Convert to fraction form
    829.59/1,243.77 = 397.05/x
  3. Step 3: Cross multiply
    829.59x = 1,243.77 × 397.05
  4. Step 4: Simplify right side
    829.59x = 493,838.88
  5. Step 5: Solve for x
    x = 493,838.88/829.59
  6. Step 6: Final answer
    x = 595.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.