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Finding the Fourth Proportional to 921.90, 1,383 and 459.70

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Solution

The fourth proportional to 921.90, 1,383 and 459.70 is: 689.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.90 : 1,383 = 459.70 : x
  2. Step 2: Convert to fraction form
    921.90/1,383 = 459.70/x
  3. Step 3: Cross multiply
    921.90x = 1,383 × 459.70
  4. Step 4: Simplify right side
    921.90x = 635,765.10
  5. Step 5: Solve for x
    x = 635,765.10/921.90
  6. Step 6: Final answer
    x = 689.62

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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.