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Finding the Fourth Proportional to 993.81, 1,490.76 and 446.07

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Solution

The fourth proportional to 993.81, 1,490.76 and 446.07 is: 669.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.81 : 1,490.76 = 446.07 : x
  2. Step 2: Convert to fraction form
    993.81/1,490.76 = 446.07/x
  3. Step 3: Cross multiply
    993.81x = 1,490.76 × 446.07
  4. Step 4: Simplify right side
    993.81x = 664,983.31
  5. Step 5: Solve for x
    x = 664,983.31/993.81
  6. Step 6: Final answer
    x = 669.13

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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.