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Finding the Fourth Proportional to 921.88, 1,383.06 and 409.24

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Solution

The fourth proportional to 921.88, 1,383.06 and 409.24 is: 613.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.88 : 1,383.06 = 409.24 : x
  2. Step 2: Convert to fraction form
    921.88/1,383.06 = 409.24/x
  3. Step 3: Cross multiply
    921.88x = 1,383.06 × 409.24
  4. Step 4: Simplify right side
    921.88x = 566,003.47
  5. Step 5: Solve for x
    x = 566,003.47/921.88
  6. Step 6: Final answer
    x = 613.97

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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.