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Finding the Fourth Proportional to 669.54, 1,003.80 and 259.02

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Solution

The fourth proportional to 669.54, 1,003.80 and 259.02 is: 388.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.54 : 1,003.80 = 259.02 : x
  2. Step 2: Convert to fraction form
    669.54/1,003.80 = 259.02/x
  3. Step 3: Cross multiply
    669.54x = 1,003.80 × 259.02
  4. Step 4: Simplify right side
    669.54x = 260,004.28
  5. Step 5: Solve for x
    x = 260,004.28/669.54
  6. Step 6: Final answer
    x = 388.33

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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.