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Finding the Fourth Proportional to 679.60, 1,018.63 and 473.54

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Solution

The fourth proportional to 679.60, 1,018.63 and 473.54 is: 709.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.60 : 1,018.63 = 473.54 : x
  2. Step 2: Convert to fraction form
    679.60/1,018.63 = 473.54/x
  3. Step 3: Cross multiply
    679.60x = 1,018.63 × 473.54
  4. Step 4: Simplify right side
    679.60x = 482,365.78
  5. Step 5: Solve for x
    x = 482,365.78/679.60
  6. Step 6: Final answer
    x = 709.78

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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.