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Finding the Fourth Proportional to 1,603.21, 2,405.90 and 563.22

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Solution

The fourth proportional to 1,603.21, 2,405.90 and 563.22 is: 845.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.21 : 2,405.90 = 563.22 : x
  2. Step 2: Convert to fraction form
    1,603.21/2,405.90 = 563.22/x
  3. Step 3: Cross multiply
    1,603.21x = 2,405.90 × 563.22
  4. Step 4: Simplify right side
    1,603.21x = 1,355,051.00
  5. Step 5: Solve for x
    x = 1,355,051.00/1,603.21
  6. Step 6: Final answer
    x = 845.21

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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.