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Finding the Fourth Proportional to 1,197.90, 1,796.64 and 332

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Solution

The fourth proportional to 1,197.90, 1,796.64 and 332 is: 497.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.90 : 1,796.64 = 332 : x
  2. Step 2: Convert to fraction form
    1,197.90/1,796.64 = 332/x
  3. Step 3: Cross multiply
    1,197.90x = 1,796.64 × 332
  4. Step 4: Simplify right side
    1,197.90x = 596,484.48
  5. Step 5: Solve for x
    x = 596,484.48/1,197.90
  6. Step 6: Final answer
    x = 497.94

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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.