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Finding the Fourth Proportional to 1,225.71, 1,686.54 and 1,196.55

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Solution

The fourth proportional to 1,225.71, 1,686.54 and 1,196.55 is: 1,646.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.71 : 1,686.54 = 1,196.55 : x
  2. Step 2: Convert to fraction form
    1,225.71/1,686.54 = 1,196.55/x
  3. Step 3: Cross multiply
    1,225.71x = 1,686.54 × 1,196.55
  4. Step 4: Simplify right side
    1,225.71x = 2,018,029.44
  5. Step 5: Solve for x
    x = 2,018,029.44/1,225.71
  6. Step 6: Final answer
    x = 1,646.42

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