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Finding the Fourth Proportional to 668.75, 1,003.33 and 284.03

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Solution

The fourth proportional to 668.75, 1,003.33 and 284.03 is: 426.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.75 : 1,003.33 = 284.03 : x
  2. Step 2: Convert to fraction form
    668.75/1,003.33 = 284.03/x
  3. Step 3: Cross multiply
    668.75x = 1,003.33 × 284.03
  4. Step 4: Simplify right side
    668.75x = 284,974.40
  5. Step 5: Solve for x
    x = 284,974.40/668.75
  6. Step 6: Final answer
    x = 426.13

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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.