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Finding the Fourth Proportional to 669.54, 1,004.52 and 345.12

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Solution

The fourth proportional to 669.54, 1,004.52 and 345.12 is: 517.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.54 : 1,004.52 = 345.12 : x
  2. Step 2: Convert to fraction form
    669.54/1,004.52 = 345.12/x
  3. Step 3: Cross multiply
    669.54x = 1,004.52 × 345.12
  4. Step 4: Simplify right side
    669.54x = 346,679.94
  5. Step 5: Solve for x
    x = 346,679.94/669.54
  6. Step 6: Final answer
    x = 517.79

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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.