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Finding the Fourth Proportional to 736.23, 1,015.58 and 459.75

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Solution

The fourth proportional to 736.23, 1,015.58 and 459.75 is: 634.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.23 : 1,015.58 = 459.75 : x
  2. Step 2: Convert to fraction form
    736.23/1,015.58 = 459.75/x
  3. Step 3: Cross multiply
    736.23x = 1,015.58 × 459.75
  4. Step 4: Simplify right side
    736.23x = 466,910.61
  5. Step 5: Solve for x
    x = 466,910.61/736.23
  6. Step 6: Final answer
    x = 634.19

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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.