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Finding the Fourth Proportional to 1,197.98, 1,796.54 and 417.82

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Solution

The fourth proportional to 1,197.98, 1,796.54 and 417.82 is: 626.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.98 : 1,796.54 = 417.82 : x
  2. Step 2: Convert to fraction form
    1,197.98/1,796.54 = 417.82/x
  3. Step 3: Cross multiply
    1,197.98x = 1,796.54 × 417.82
  4. Step 4: Simplify right side
    1,197.98x = 750,630.34
  5. Step 5: Solve for x
    x = 750,630.34/1,197.98
  6. Step 6: Final answer
    x = 626.58

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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.