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Finding the Fourth Proportional to 922.64, 1,383.82 and 345.38

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Solution

The fourth proportional to 922.64, 1,383.82 and 345.38 is: 518.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.64 : 1,383.82 = 345.38 : x
  2. Step 2: Convert to fraction form
    922.64/1,383.82 = 345.38/x
  3. Step 3: Cross multiply
    922.64x = 1,383.82 × 345.38
  4. Step 4: Simplify right side
    922.64x = 477,935.97
  5. Step 5: Solve for x
    x = 477,935.97/922.64
  6. Step 6: Final answer
    x = 518.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.