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Finding the Fourth Proportional to 683.42, 1,023.60 and 580.34

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Solution

The fourth proportional to 683.42, 1,023.60 and 580.34 is: 869.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.42 : 1,023.60 = 580.34 : x
  2. Step 2: Convert to fraction form
    683.42/1,023.60 = 580.34/x
  3. Step 3: Cross multiply
    683.42x = 1,023.60 × 580.34
  4. Step 4: Simplify right side
    683.42x = 594,036.02
  5. Step 5: Solve for x
    x = 594,036.02/683.42
  6. Step 6: Final answer
    x = 869.21

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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.