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Finding the Fourth Proportional to 1,283.36, 1,769.76 and 1,033.88

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Solution

The fourth proportional to 1,283.36, 1,769.76 and 1,033.88 is: 1,425.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.36 : 1,769.76 = 1,033.88 : x
  2. Step 2: Convert to fraction form
    1,283.36/1,769.76 = 1,033.88/x
  3. Step 3: Cross multiply
    1,283.36x = 1,769.76 × 1,033.88
  4. Step 4: Simplify right side
    1,283.36x = 1,829,710.62
  5. Step 5: Solve for x
    x = 1,829,710.62/1,283.36
  6. Step 6: Final answer
    x = 1,425.72

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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.