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Finding the Fourth Proportional to 668.80, 1,003.12 and 284

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Solution

The fourth proportional to 668.80, 1,003.12 and 284 is: 425.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.80 : 1,003.12 = 284 : x
  2. Step 2: Convert to fraction form
    668.80/1,003.12 = 284/x
  3. Step 3: Cross multiply
    668.80x = 1,003.12 × 284
  4. Step 4: Simplify right side
    668.80x = 284,886.08
  5. Step 5: Solve for x
    x = 284,886.08/668.80
  6. Step 6: Final answer
    x = 425.97

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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.