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Finding the Fourth Proportional to 1,604.34, 2,406.65 and 450.09

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Solution

The fourth proportional to 1,604.34, 2,406.65 and 450.09 is: 675.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.34 : 2,406.65 = 450.09 : x
  2. Step 2: Convert to fraction form
    1,604.34/2,406.65 = 450.09/x
  3. Step 3: Cross multiply
    1,604.34x = 2,406.65 × 450.09
  4. Step 4: Simplify right side
    1,604.34x = 1,083,219.25
  5. Step 5: Solve for x
    x = 1,083,219.25/1,604.34
  6. Step 6: Final answer
    x = 675.18

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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.