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Finding the Fourth Proportional to 922.33, 1,383.74 and 374.89

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Solution

The fourth proportional to 922.33, 1,383.74 and 374.89 is: 562.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.33 : 1,383.74 = 374.89 : x
  2. Step 2: Convert to fraction form
    922.33/1,383.74 = 374.89/x
  3. Step 3: Cross multiply
    922.33x = 1,383.74 × 374.89
  4. Step 4: Simplify right side
    922.33x = 518,744.95
  5. Step 5: Solve for x
    x = 518,744.95/922.33
  6. Step 6: Final answer
    x = 562.43

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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.