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Finding the Fourth Proportional to 1,197.04, 1,795.56 and 331.42

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Solution

The fourth proportional to 1,197.04, 1,795.56 and 331.42 is: 497.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.04 : 1,795.56 = 331.42 : x
  2. Step 2: Convert to fraction form
    1,197.04/1,795.56 = 331.42/x
  3. Step 3: Cross multiply
    1,197.04x = 1,795.56 × 331.42
  4. Step 4: Simplify right side
    1,197.04x = 595,084.50
  5. Step 5: Solve for x
    x = 595,084.50/1,197.04
  6. Step 6: Final answer
    x = 497.13

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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.