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Finding the Fourth Proportional to 1,603.61, 2,405.46 and 563.63

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Solution

The fourth proportional to 1,603.61, 2,405.46 and 563.63 is: 845.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.61 : 2,405.46 = 563.63 : x
  2. Step 2: Convert to fraction form
    1,603.61/2,405.46 = 563.63/x
  3. Step 3: Cross multiply
    1,603.61x = 2,405.46 × 563.63
  4. Step 4: Simplify right side
    1,603.61x = 1,355,789.87
  5. Step 5: Solve for x
    x = 1,355,789.87/1,603.61
  6. Step 6: Final answer
    x = 845.46

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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.