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Finding the Fourth Proportional to 736.20, 1,015.42 and 625.50

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Solution

The fourth proportional to 736.20, 1,015.42 and 625.50 is: 862.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.20 : 1,015.42 = 625.50 : x
  2. Step 2: Convert to fraction form
    736.20/1,015.42 = 625.50/x
  3. Step 3: Cross multiply
    736.20x = 1,015.42 × 625.50
  4. Step 4: Simplify right side
    736.20x = 635,145.21
  5. Step 5: Solve for x
    x = 635,145.21/736.20
  6. Step 6: Final answer
    x = 862.73

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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.