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Finding the Fourth Proportional to 1,613.29, 2,418.94 and 688.33

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Solution

The fourth proportional to 1,613.29, 2,418.94 and 688.33 is: 1,032.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.29 : 2,418.94 = 688.33 : x
  2. Step 2: Convert to fraction form
    1,613.29/2,418.94 = 688.33/x
  3. Step 3: Cross multiply
    1,613.29x = 2,418.94 × 688.33
  4. Step 4: Simplify right side
    1,613.29x = 1,665,028.97
  5. Step 5: Solve for x
    x = 1,665,028.97/1,613.29
  6. Step 6: Final answer
    x = 1,032.07

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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.