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Finding the Fourth Proportional to 829.90, 1,145.37 and 536.02

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Solution

The fourth proportional to 829.90, 1,145.37 and 536.02 is: 739.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.90 : 1,145.37 = 536.02 : x
  2. Step 2: Convert to fraction form
    829.90/1,145.37 = 536.02/x
  3. Step 3: Cross multiply
    829.90x = 1,145.37 × 536.02
  4. Step 4: Simplify right side
    829.90x = 613,940.37
  5. Step 5: Solve for x
    x = 613,940.37/829.90
  6. Step 6: Final answer
    x = 739.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.