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Finding the Fourth Proportional to 669.08, 1,007.33 and 523.62

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Solution

The fourth proportional to 669.08, 1,007.33 and 523.62 is: 788.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.08 : 1,007.33 = 523.62 : x
  2. Step 2: Convert to fraction form
    669.08/1,007.33 = 523.62/x
  3. Step 3: Cross multiply
    669.08x = 1,007.33 × 523.62
  4. Step 4: Simplify right side
    669.08x = 527,458.13
  5. Step 5: Solve for x
    x = 527,458.13/669.08
  6. Step 6: Final answer
    x = 788.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.