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Finding the Fourth Proportional to 993.48, 1,493.59 and 812.19

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Solution

The fourth proportional to 993.48, 1,493.59 and 812.19 is: 1,221.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.48 : 1,493.59 = 812.19 : x
  2. Step 2: Convert to fraction form
    993.48/1,493.59 = 812.19/x
  3. Step 3: Cross multiply
    993.48x = 1,493.59 × 812.19
  4. Step 4: Simplify right side
    993.48x = 1,213,078.86
  5. Step 5: Solve for x
    x = 1,213,078.86/993.48
  6. Step 6: Final answer
    x = 1,221.04

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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.