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Finding the Fourth Proportional to 669, 1,003.74 and 284.28

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Solution

The fourth proportional to 669, 1,003.74 and 284.28 is: 426.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    669 : 1,003.74 = 284.28 : x
  2. Step 2: Convert to fraction form
    669/1,003.74 = 284.28/x
  3. Step 3: Cross multiply
    669x = 1,003.74 × 284.28
  4. Step 4: Simplify right side
    669x = 285,343.21
  5. Step 5: Solve for x
    x = 285,343.21/669
  6. Step 6: Final answer
    x = 426.52

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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.