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Finding the Fourth Proportional to 993.40, 1,489.68 and 376.80

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Solution

The fourth proportional to 993.40, 1,489.68 and 376.80 is: 565.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.40 : 1,489.68 = 376.80 : x
  2. Step 2: Convert to fraction form
    993.40/1,489.68 = 376.80/x
  3. Step 3: Cross multiply
    993.40x = 1,489.68 × 376.80
  4. Step 4: Simplify right side
    993.40x = 561,311.42
  5. Step 5: Solve for x
    x = 561,311.42/993.40
  6. Step 6: Final answer
    x = 565.04

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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.