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Finding the Fourth Proportional to 1,603.10, 2,405.06 and 448.85

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Solution

The fourth proportional to 1,603.10, 2,405.06 and 448.85 is: 673.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.10 : 2,405.06 = 448.85 : x
  2. Step 2: Convert to fraction form
    1,603.10/2,405.06 = 448.85/x
  3. Step 3: Cross multiply
    1,603.10x = 2,405.06 × 448.85
  4. Step 4: Simplify right side
    1,603.10x = 1,079,511.18
  5. Step 5: Solve for x
    x = 1,079,511.18/1,603.10
  6. Step 6: Final answer
    x = 673.39

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