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Finding the Fourth Proportional to 1,283.08, 1,769.70 and 817.48

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Solution

The fourth proportional to 1,283.08, 1,769.70 and 817.48 is: 1,127.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.08 : 1,769.70 = 817.48 : x
  2. Step 2: Convert to fraction form
    1,283.08/1,769.70 = 817.48/x
  3. Step 3: Cross multiply
    1,283.08x = 1,769.70 × 817.48
  4. Step 4: Simplify right side
    1,283.08x = 1,446,694.36
  5. Step 5: Solve for x
    x = 1,446,694.36/1,283.08
  6. Step 6: Final answer
    x = 1,127.52

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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.