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Finding the Fourth Proportional to 993.80, 1,490.36 and 446.48

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Solution

The fourth proportional to 993.80, 1,490.36 and 446.48 is: 669.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.80 : 1,490.36 = 446.48 : x
  2. Step 2: Convert to fraction form
    993.80/1,490.36 = 446.48/x
  3. Step 3: Cross multiply
    993.80x = 1,490.36 × 446.48
  4. Step 4: Simplify right side
    993.80x = 665,415.93
  5. Step 5: Solve for x
    x = 665,415.93/993.80
  6. Step 6: Final answer
    x = 669.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.