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Finding the Fourth Proportional to 669.09, 1,004.00 and 284.25

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Solution

The fourth proportional to 669.09, 1,004.00 and 284.25 is: 426.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.09 : 1,004.00 = 284.25 : x
  2. Step 2: Convert to fraction form
    669.09/1,004.00 = 284.25/x
  3. Step 3: Cross multiply
    669.09x = 1,004.00 × 284.25
  4. Step 4: Simplify right side
    669.09x = 285,385.58
  5. Step 5: Solve for x
    x = 285,385.58/669.09
  6. Step 6: Final answer
    x = 426.53

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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.