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Finding the Fourth Proportional to 683.28, 1,019.52 and 651.24

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Solution

The fourth proportional to 683.28, 1,019.52 and 651.24 is: 971.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.28 : 1,019.52 = 651.24 : x
  2. Step 2: Convert to fraction form
    683.28/1,019.52 = 651.24/x
  3. Step 3: Cross multiply
    683.28x = 1,019.52 × 651.24
  4. Step 4: Simplify right side
    683.28x = 663,952.20
  5. Step 5: Solve for x
    x = 663,952.20/683.28
  6. Step 6: Final answer
    x = 971.71

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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.