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Finding the Fourth Proportional to 1,197.72, 1,796.54 and 332.04

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Solution

The fourth proportional to 1,197.72, 1,796.54 and 332.04 is: 498.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.72 : 1,796.54 = 332.04 : x
  2. Step 2: Convert to fraction form
    1,197.72/1,796.54 = 332.04/x
  3. Step 3: Cross multiply
    1,197.72x = 1,796.54 × 332.04
  4. Step 4: Simplify right side
    1,197.72x = 596,523.14
  5. Step 5: Solve for x
    x = 596,523.14/1,197.72
  6. Step 6: Final answer
    x = 498.05

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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.