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Finding the Fourth Proportional to 1,225.94, 1,693.10 and 1,197.69

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Solution

The fourth proportional to 1,225.94, 1,693.10 and 1,197.69 is: 1,654.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.94 : 1,693.10 = 1,197.69 : x
  2. Step 2: Convert to fraction form
    1,225.94/1,693.10 = 1,197.69/x
  3. Step 3: Cross multiply
    1,225.94x = 1,693.10 × 1,197.69
  4. Step 4: Simplify right side
    1,225.94x = 2,027,805.58
  5. Step 5: Solve for x
    x = 2,027,805.58/1,225.94
  6. Step 6: Final answer
    x = 1,654.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.