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Finding the Fourth Proportional to 1,664.16, 2,496.75 and 690.33

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Solution

The fourth proportional to 1,664.16, 2,496.75 and 690.33 is: 1,035.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.16 : 2,496.75 = 690.33 : x
  2. Step 2: Convert to fraction form
    1,664.16/2,496.75 = 690.33/x
  3. Step 3: Cross multiply
    1,664.16x = 2,496.75 × 690.33
  4. Step 4: Simplify right side
    1,664.16x = 1,723,581.43
  5. Step 5: Solve for x
    x = 1,723,581.43/1,664.16
  6. Step 6: Final answer
    x = 1,035.71

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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.