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Finding the Fourth Proportional to 669.13, 1,003.56 and 303.83

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Solution

The fourth proportional to 669.13, 1,003.56 and 303.83 is: 455.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.13 : 1,003.56 = 303.83 : x
  2. Step 2: Convert to fraction form
    669.13/1,003.56 = 303.83/x
  3. Step 3: Cross multiply
    669.13x = 1,003.56 × 303.83
  4. Step 4: Simplify right side
    669.13x = 304,911.63
  5. Step 5: Solve for x
    x = 304,911.63/669.13
  6. Step 6: Final answer
    x = 455.68

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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.