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Finding the Fourth Proportional to 922.09, 1,383.15 and 272.83

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Solution

The fourth proportional to 922.09, 1,383.15 and 272.83 is: 409.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.09 : 1,383.15 = 272.83 : x
  2. Step 2: Convert to fraction form
    922.09/1,383.15 = 272.83/x
  3. Step 3: Cross multiply
    922.09x = 1,383.15 × 272.83
  4. Step 4: Simplify right side
    922.09x = 377,364.81
  5. Step 5: Solve for x
    x = 377,364.81/922.09
  6. Step 6: Final answer
    x = 409.25

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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.