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Finding the Fourth Proportional to 921.22, 1,381.23 and 458.75

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Solution

The fourth proportional to 921.22, 1,381.23 and 458.75 is: 687.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.22 : 1,381.23 = 458.75 : x
  2. Step 2: Convert to fraction form
    921.22/1,381.23 = 458.75/x
  3. Step 3: Cross multiply
    921.22x = 1,381.23 × 458.75
  4. Step 4: Simplify right side
    921.22x = 633,642.72
  5. Step 5: Solve for x
    x = 633,642.72/921.22
  6. Step 6: Final answer
    x = 687.83

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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.