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Finding the Fourth Proportional to 921.99, 1,381.92 and 460.09

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Solution

The fourth proportional to 921.99, 1,381.92 and 460.09 is: 689.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.99 : 1,381.92 = 460.09 : x
  2. Step 2: Convert to fraction form
    921.99/1,381.92 = 460.09/x
  3. Step 3: Cross multiply
    921.99x = 1,381.92 × 460.09
  4. Step 4: Simplify right side
    921.99x = 635,807.57
  5. Step 5: Solve for x
    x = 635,807.57/921.99
  6. Step 6: Final answer
    x = 689.60

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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.