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Finding the Fourth Proportional to 920.72, 1,382.46 and 881.84

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Solution

The fourth proportional to 920.72, 1,382.46 and 881.84 is: 1,324.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.72 : 1,382.46 = 881.84 : x
  2. Step 2: Convert to fraction form
    920.72/1,382.46 = 881.84/x
  3. Step 3: Cross multiply
    920.72x = 1,382.46 × 881.84
  4. Step 4: Simplify right side
    920.72x = 1,219,101.61
  5. Step 5: Solve for x
    x = 1,219,101.61/920.72
  6. Step 6: Final answer
    x = 1,324.08

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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.