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Finding the Fourth Proportional to 679.78, 1,019.32 and 332.60

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Solution

The fourth proportional to 679.78, 1,019.32 and 332.60 is: 498.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.78 : 1,019.32 = 332.60 : x
  2. Step 2: Convert to fraction form
    679.78/1,019.32 = 332.60/x
  3. Step 3: Cross multiply
    679.78x = 1,019.32 × 332.60
  4. Step 4: Simplify right side
    679.78x = 339,023.70
  5. Step 5: Solve for x
    x = 339,023.70/679.78
  6. Step 6: Final answer
    x = 498.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.