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Finding the Fourth Proportional to 1,281.97, 1,769.24 and 784.93

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Solution

The fourth proportional to 1,281.97, 1,769.24 and 784.93 is: 1,083.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.97 : 1,769.24 = 784.93 : x
  2. Step 2: Convert to fraction form
    1,281.97/1,769.24 = 784.93/x
  3. Step 3: Cross multiply
    1,281.97x = 1,769.24 × 784.93
  4. Step 4: Simplify right side
    1,281.97x = 1,388,729.55
  5. Step 5: Solve for x
    x = 1,388,729.55/1,281.97
  6. Step 6: Final answer
    x = 1,083.28

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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.