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Finding the Fourth Proportional to 997.79, 1,495.65 and 381.32

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Solution

The fourth proportional to 997.79, 1,495.65 and 381.32 is: 571.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.79 : 1,495.65 = 381.32 : x
  2. Step 2: Convert to fraction form
    997.79/1,495.65 = 381.32/x
  3. Step 3: Cross multiply
    997.79x = 1,495.65 × 381.32
  4. Step 4: Simplify right side
    997.79x = 570,328.70
  5. Step 5: Solve for x
    x = 570,328.70/997.79
  6. Step 6: Final answer
    x = 571.59

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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.