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Finding the Fourth Proportional to 920.53, 1,381.37 and 834.04

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Solution

The fourth proportional to 920.53, 1,381.37 and 834.04 is: 1,251.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.53 : 1,381.37 = 834.04 : x
  2. Step 2: Convert to fraction form
    920.53/1,381.37 = 834.04/x
  3. Step 3: Cross multiply
    920.53x = 1,381.37 × 834.04
  4. Step 4: Simplify right side
    920.53x = 1,152,112.31
  5. Step 5: Solve for x
    x = 1,152,112.31/920.53
  6. Step 6: Final answer
    x = 1,251.58

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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.