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Finding the Fourth Proportional to 924.50, 1,380.16 and 892.06

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Solution

The fourth proportional to 924.50, 1,380.16 and 892.06 is: 1,331.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.50 : 1,380.16 = 892.06 : x
  2. Step 2: Convert to fraction form
    924.50/1,380.16 = 892.06/x
  3. Step 3: Cross multiply
    924.50x = 1,380.16 × 892.06
  4. Step 4: Simplify right side
    924.50x = 1,231,180.50
  5. Step 5: Solve for x
    x = 1,231,180.50/924.50
  6. Step 6: Final answer
    x = 1,331.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.