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Finding the Fourth Proportional to 715.16, 1,067.61 and 683.64

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Solution

The fourth proportional to 715.16, 1,067.61 and 683.64 is: 1,020.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.16 : 1,067.61 = 683.64 : x
  2. Step 2: Convert to fraction form
    715.16/1,067.61 = 683.64/x
  3. Step 3: Cross multiply
    715.16x = 1,067.61 × 683.64
  4. Step 4: Simplify right side
    715.16x = 729,860.90
  5. Step 5: Solve for x
    x = 729,860.90/715.16
  6. Step 6: Final answer
    x = 1,020.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.