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Finding the Fourth Proportional to 920.10, 1,381.72 and 613.92

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Solution

The fourth proportional to 920.10, 1,381.72 and 613.92 is: 921.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.10 : 1,381.72 = 613.92 : x
  2. Step 2: Convert to fraction form
    920.10/1,381.72 = 613.92/x
  3. Step 3: Cross multiply
    920.10x = 1,381.72 × 613.92
  4. Step 4: Simplify right side
    920.10x = 848,265.54
  5. Step 5: Solve for x
    x = 848,265.54/920.10
  6. Step 6: Final answer
    x = 921.93

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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.