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Finding the Fourth Proportional to 1,197.12, 1,794.72 and 513.60

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Solution

The fourth proportional to 1,197.12, 1,794.72 and 513.60 is: 769.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.12 : 1,794.72 = 513.60 : x
  2. Step 2: Convert to fraction form
    1,197.12/1,794.72 = 513.60/x
  3. Step 3: Cross multiply
    1,197.12x = 1,794.72 × 513.60
  4. Step 4: Simplify right side
    1,197.12x = 921,768.19
  5. Step 5: Solve for x
    x = 921,768.19/1,197.12
  6. Step 6: Final answer
    x = 769.99

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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.