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Finding the Fourth Proportional to 669.58, 1,003.53 and 376.90

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Solution

The fourth proportional to 669.58, 1,003.53 and 376.90 is: 564.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.58 : 1,003.53 = 376.90 : x
  2. Step 2: Convert to fraction form
    669.58/1,003.53 = 376.90/x
  3. Step 3: Cross multiply
    669.58x = 1,003.53 × 376.90
  4. Step 4: Simplify right side
    669.58x = 378,230.46
  5. Step 5: Solve for x
    x = 378,230.46/669.58
  6. Step 6: Final answer
    x = 564.88

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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.