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Finding the Fourth Proportional to 1,604.21, 2,406.51 and 563.96

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Solution

The fourth proportional to 1,604.21, 2,406.51 and 563.96 is: 846.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.21 : 2,406.51 = 563.96 : x
  2. Step 2: Convert to fraction form
    1,604.21/2,406.51 = 563.96/x
  3. Step 3: Cross multiply
    1,604.21x = 2,406.51 × 563.96
  4. Step 4: Simplify right side
    1,604.21x = 1,357,181.40
  5. Step 5: Solve for x
    x = 1,357,181.40/1,604.21
  6. Step 6: Final answer
    x = 846.01

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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.