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Finding the Fourth Proportional to 736.96, 1,104.54 and 574.42

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Solution

The fourth proportional to 736.96, 1,104.54 and 574.42 is: 860.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.96 : 1,104.54 = 574.42 : x
  2. Step 2: Convert to fraction form
    736.96/1,104.54 = 574.42/x
  3. Step 3: Cross multiply
    736.96x = 1,104.54 × 574.42
  4. Step 4: Simplify right side
    736.96x = 634,469.87
  5. Step 5: Solve for x
    x = 634,469.87/736.96
  6. Step 6: Final answer
    x = 860.93

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Why These Related Problems?

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