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Finding the Fourth Proportional to 683.27, 942.93 and 535.65

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Solution

The fourth proportional to 683.27, 942.93 and 535.65 is: 739.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.27 : 942.93 = 535.65 : x
  2. Step 2: Convert to fraction form
    683.27/942.93 = 535.65/x
  3. Step 3: Cross multiply
    683.27x = 942.93 × 535.65
  4. Step 4: Simplify right side
    683.27x = 505,080.45
  5. Step 5: Solve for x
    x = 505,080.45/683.27
  6. Step 6: Final answer
    x = 739.22

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Why These Related Problems?

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