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Finding the Fourth Proportional to 993.68, 1,489.45 and 445.10

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Solution

The fourth proportional to 993.68, 1,489.45 and 445.10 is: 667.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.68 : 1,489.45 = 445.10 : x
  2. Step 2: Convert to fraction form
    993.68/1,489.45 = 445.10/x
  3. Step 3: Cross multiply
    993.68x = 1,489.45 × 445.10
  4. Step 4: Simplify right side
    993.68x = 662,954.20
  5. Step 5: Solve for x
    x = 662,954.20/993.68
  6. Step 6: Final answer
    x = 667.17

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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.