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Finding the Fourth Proportional to 1,197.14, 1,793.61 and 832.16

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Solution

The fourth proportional to 1,197.14, 1,793.61 and 832.16 is: 1,246.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.14 : 1,793.61 = 832.16 : x
  2. Step 2: Convert to fraction form
    1,197.14/1,793.61 = 832.16/x
  3. Step 3: Cross multiply
    1,197.14x = 1,793.61 × 832.16
  4. Step 4: Simplify right side
    1,197.14x = 1,492,570.50
  5. Step 5: Solve for x
    x = 1,492,570.50/1,197.14
  6. Step 6: Final answer
    x = 1,246.78

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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.