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Finding the Fourth Proportional to 829.03, 1,243.48 and 598.34

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Solution

The fourth proportional to 829.03, 1,243.48 and 598.34 is: 897.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.03 : 1,243.48 = 598.34 : x
  2. Step 2: Convert to fraction form
    829.03/1,243.48 = 598.34/x
  3. Step 3: Cross multiply
    829.03x = 1,243.48 × 598.34
  4. Step 4: Simplify right side
    829.03x = 744,019.85
  5. Step 5: Solve for x
    x = 744,019.85/829.03
  6. Step 6: Final answer
    x = 897.46

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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.