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Finding the Fourth Proportional to 920.36, 1,381.23 and 433.75

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Solution

The fourth proportional to 920.36, 1,381.23 and 433.75 is: 650.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.36 : 1,381.23 = 433.75 : x
  2. Step 2: Convert to fraction form
    920.36/1,381.23 = 433.75/x
  3. Step 3: Cross multiply
    920.36x = 1,381.23 × 433.75
  4. Step 4: Simplify right side
    920.36x = 599,108.51
  5. Step 5: Solve for x
    x = 599,108.51/920.36
  6. Step 6: Final answer
    x = 650.95

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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.