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Finding the Fourth Proportional to 920.40, 1,381.26 and 372.73

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Solution

The fourth proportional to 920.40, 1,381.26 and 372.73 is: 559.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.40 : 1,381.26 = 372.73 : x
  2. Step 2: Convert to fraction form
    920.40/1,381.26 = 372.73/x
  3. Step 3: Cross multiply
    920.40x = 1,381.26 × 372.73
  4. Step 4: Simplify right side
    920.40x = 514,837.04
  5. Step 5: Solve for x
    x = 514,837.04/920.40
  6. Step 6: Final answer
    x = 559.36

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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.