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Finding the Fourth Proportional to 683.30, 1,025.75 and 452.64

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Solution

The fourth proportional to 683.30, 1,025.75 and 452.64 is: 679.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.30 : 1,025.75 = 452.64 : x
  2. Step 2: Convert to fraction form
    683.30/1,025.75 = 452.64/x
  3. Step 3: Cross multiply
    683.30x = 1,025.75 × 452.64
  4. Step 4: Simplify right side
    683.30x = 464,295.48
  5. Step 5: Solve for x
    x = 464,295.48/683.30
  6. Step 6: Final answer
    x = 679.49

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1.5x scale

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.