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Finding the Fourth Proportional to 669.52, 1,003.68 and 284.56

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Solution

The fourth proportional to 669.52, 1,003.68 and 284.56 is: 426.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.52 : 1,003.68 = 284.56 : x
  2. Step 2: Convert to fraction form
    669.52/1,003.68 = 284.56/x
  3. Step 3: Cross multiply
    669.52x = 1,003.68 × 284.56
  4. Step 4: Simplify right side
    669.52x = 285,607.18
  5. Step 5: Solve for x
    x = 285,607.18/669.52
  6. Step 6: Final answer
    x = 426.58

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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.