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Finding the Fourth Proportional to 683.55, 1,026.24 and 410.16

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Solution

The fourth proportional to 683.55, 1,026.24 and 410.16 is: 615.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.55 : 1,026.24 = 410.16 : x
  2. Step 2: Convert to fraction form
    683.55/1,026.24 = 410.16/x
  3. Step 3: Cross multiply
    683.55x = 1,026.24 × 410.16
  4. Step 4: Simplify right side
    683.55x = 420,922.60
  5. Step 5: Solve for x
    x = 420,922.60/683.55
  6. Step 6: Final answer
    x = 615.79

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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.