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Finding the Fourth Proportional to 1,603.89, 2,405.36 and 563.70

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Solution

The fourth proportional to 1,603.89, 2,405.36 and 563.70 is: 845.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.89 : 2,405.36 = 563.70 : x
  2. Step 2: Convert to fraction form
    1,603.89/2,405.36 = 563.70/x
  3. Step 3: Cross multiply
    1,603.89x = 2,405.36 × 563.70
  4. Step 4: Simplify right side
    1,603.89x = 1,355,899.67
  5. Step 5: Solve for x
    x = 1,355,899.67/1,603.89
  6. Step 6: Final answer
    x = 845.38

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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.