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Finding the Fourth Proportional to 1,197.48, 1,797.12 and 548.67

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Solution

The fourth proportional to 1,197.48, 1,797.12 and 548.67 is: 823.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.48 : 1,797.12 = 548.67 : x
  2. Step 2: Convert to fraction form
    1,197.48/1,797.12 = 548.67/x
  3. Step 3: Cross multiply
    1,197.48x = 1,797.12 × 548.67
  4. Step 4: Simplify right side
    1,197.48x = 986,025.83
  5. Step 5: Solve for x
    x = 986,025.83/1,197.48
  6. Step 6: Final answer
    x = 823.42

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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.