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Finding the Fourth Proportional to 1,604.00, 2,406.00 and 563.46

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Solution

The fourth proportional to 1,604.00, 2,406.00 and 563.46 is: 845.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.00 : 2,406.00 = 563.46 : x
  2. Step 2: Convert to fraction form
    1,604.00/2,406.00 = 563.46/x
  3. Step 3: Cross multiply
    1,604.00x = 2,406.00 × 563.46
  4. Step 4: Simplify right side
    1,604.00x = 1,355,677.85
  5. Step 5: Solve for x
    x = 1,355,677.85/1,604.00
  6. Step 6: Final answer
    x = 845.18

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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.