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Finding the Fourth Proportional to 1,227.97, 1,693.96 and 761.41

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Solution

The fourth proportional to 1,227.97, 1,693.96 and 761.41 is: 1,050.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.97 : 1,693.96 = 761.41 : x
  2. Step 2: Convert to fraction form
    1,227.97/1,693.96 = 761.41/x
  3. Step 3: Cross multiply
    1,227.97x = 1,693.96 × 761.41
  4. Step 4: Simplify right side
    1,227.97x = 1,289,798.08
  5. Step 5: Solve for x
    x = 1,289,798.08/1,227.97
  6. Step 6: Final answer
    x = 1,050.35

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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.