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Finding the Fourth Proportional to 1,603.26, 2,404.26 and 492.33

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Solution

The fourth proportional to 1,603.26, 2,404.26 and 492.33 is: 738.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.26 : 2,404.26 = 492.33 : x
  2. Step 2: Convert to fraction form
    1,603.26/2,404.26 = 492.33/x
  3. Step 3: Cross multiply
    1,603.26x = 2,404.26 × 492.33
  4. Step 4: Simplify right side
    1,603.26x = 1,183,689.33
  5. Step 5: Solve for x
    x = 1,183,689.33/1,603.26
  6. Step 6: Final answer
    x = 738.30

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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.