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Finding the Fourth Proportional to 1,609.75, 2,414.40 and 685.66

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Solution

The fourth proportional to 1,609.75, 2,414.40 and 685.66 is: 1,028.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.75 : 2,414.40 = 685.66 : x
  2. Step 2: Convert to fraction form
    1,609.75/2,414.40 = 685.66/x
  3. Step 3: Cross multiply
    1,609.75x = 2,414.40 × 685.66
  4. Step 4: Simplify right side
    1,609.75x = 1,655,457.50
  5. Step 5: Solve for x
    x = 1,655,457.50/1,609.75
  6. Step 6: Final answer
    x = 1,028.39

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1.5x scale

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.