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Finding the Fourth Proportional to 1,283.71, 1,771.75 and 1,225.28

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Solution

The fourth proportional to 1,283.71, 1,771.75 and 1,225.28 is: 1,691.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.71 : 1,771.75 = 1,225.28 : x
  2. Step 2: Convert to fraction form
    1,283.71/1,771.75 = 1,225.28/x
  3. Step 3: Cross multiply
    1,283.71x = 1,771.75 × 1,225.28
  4. Step 4: Simplify right side
    1,283.71x = 2,170,889.84
  5. Step 5: Solve for x
    x = 2,170,889.84/1,283.71
  6. Step 6: Final answer
    x = 1,691.11

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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.