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Finding the Fourth Proportional to 993.25, 1,370.69 and 869.32

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Solution

The fourth proportional to 993.25, 1,370.69 and 869.32 is: 1,199.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.25 : 1,370.69 = 869.32 : x
  2. Step 2: Convert to fraction form
    993.25/1,370.69 = 869.32/x
  3. Step 3: Cross multiply
    993.25x = 1,370.69 × 869.32
  4. Step 4: Simplify right side
    993.25x = 1,191,563.88
  5. Step 5: Solve for x
    x = 1,191,563.88/993.25
  6. Step 6: Final answer
    x = 1,199.66

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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.