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Finding the Fourth Proportional to 993.12, 1,370.64 and 683.04

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Solution

The fourth proportional to 993.12, 1,370.64 and 683.04 is: 942.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.12 : 1,370.64 = 683.04 : x
  2. Step 2: Convert to fraction form
    993.12/1,370.64 = 683.04/x
  3. Step 3: Cross multiply
    993.12x = 1,370.64 × 683.04
  4. Step 4: Simplify right side
    993.12x = 936,201.95
  5. Step 5: Solve for x
    x = 936,201.95/993.12
  6. Step 6: Final answer
    x = 942.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.