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Finding the Fourth Proportional to 1,197.97, 1,796.46 and 417.76

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Solution

The fourth proportional to 1,197.97, 1,796.46 and 417.76 is: 626.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.97 : 1,796.46 = 417.76 : x
  2. Step 2: Convert to fraction form
    1,197.97/1,796.46 = 417.76/x
  3. Step 3: Cross multiply
    1,197.97x = 1,796.46 × 417.76
  4. Step 4: Simplify right side
    1,197.97x = 750,489.13
  5. Step 5: Solve for x
    x = 750,489.13/1,197.97
  6. Step 6: Final answer
    x = 626.47

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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.