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Finding the Fourth Proportional to 1,197.05, 1,794.02 and 546.35

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Solution

The fourth proportional to 1,197.05, 1,794.02 and 546.35 is: 818.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.05 : 1,794.02 = 546.35 : x
  2. Step 2: Convert to fraction form
    1,197.05/1,794.02 = 546.35/x
  3. Step 3: Cross multiply
    1,197.05x = 1,794.02 × 546.35
  4. Step 4: Simplify right side
    1,197.05x = 980,151.13
  5. Step 5: Solve for x
    x = 980,151.13/1,197.05
  6. Step 6: Final answer
    x = 818.81

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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.