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Finding the Fourth Proportional to 1,197.70, 1,796.40 and 417.56

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Solution

The fourth proportional to 1,197.70, 1,796.40 and 417.56 is: 626.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.70 : 1,796.40 = 417.56 : x
  2. Step 2: Convert to fraction form
    1,197.70/1,796.40 = 417.56/x
  3. Step 3: Cross multiply
    1,197.70x = 1,796.40 × 417.56
  4. Step 4: Simplify right side
    1,197.70x = 750,104.78
  5. Step 5: Solve for x
    x = 750,104.78/1,197.70
  6. Step 6: Final answer
    x = 626.29

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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.