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Finding the Fourth Proportional to 716.08, 1,073.51 and 682.06

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Solution

The fourth proportional to 716.08, 1,073.51 and 682.06 is: 1,022.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.08 : 1,073.51 = 682.06 : x
  2. Step 2: Convert to fraction form
    716.08/1,073.51 = 682.06/x
  3. Step 3: Cross multiply
    716.08x = 1,073.51 × 682.06
  4. Step 4: Simplify right side
    716.08x = 732,198.23
  5. Step 5: Solve for x
    x = 732,198.23/716.08
  6. Step 6: Final answer
    x = 1,022.51

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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.