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Finding the Fourth Proportional to 1,604.75, 2,407.40 and 680.75

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Solution

The fourth proportional to 1,604.75, 2,407.40 and 680.75 is: 1,021.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.75 : 2,407.40 = 680.75 : x
  2. Step 2: Convert to fraction form
    1,604.75/2,407.40 = 680.75/x
  3. Step 3: Cross multiply
    1,604.75x = 2,407.40 × 680.75
  4. Step 4: Simplify right side
    1,604.75x = 1,638,837.55
  5. Step 5: Solve for x
    x = 1,638,837.55/1,604.75
  6. Step 6: Final answer
    x = 1,021.24

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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.