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Finding the Fourth Proportional to 668.07, 920.43 and 536.85

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Solution

The fourth proportional to 668.07, 920.43 and 536.85 is: 739.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.07 : 920.43 = 536.85 : x
  2. Step 2: Convert to fraction form
    668.07/920.43 = 536.85/x
  3. Step 3: Cross multiply
    668.07x = 920.43 × 536.85
  4. Step 4: Simplify right side
    668.07x = 494,132.85
  5. Step 5: Solve for x
    x = 494,132.85/668.07
  6. Step 6: Final answer
    x = 739.64

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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.