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Finding the Fourth Proportional to 668.18, 1,001.43 and 379.78

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Solution

The fourth proportional to 668.18, 1,001.43 and 379.78 is: 569.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.18 : 1,001.43 = 379.78 : x
  2. Step 2: Convert to fraction form
    668.18/1,001.43 = 379.78/x
  3. Step 3: Cross multiply
    668.18x = 1,001.43 × 379.78
  4. Step 4: Simplify right side
    668.18x = 380,323.09
  5. Step 5: Solve for x
    x = 380,323.09/668.18
  6. Step 6: Final answer
    x = 569.19

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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.