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Finding the Fourth Proportional to 1,377.80, 1,901.34 and 748.31

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Solution

The fourth proportional to 1,377.80, 1,901.34 and 748.31 is: 1,032.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.80 : 1,901.34 = 748.31 : x
  2. Step 2: Convert to fraction form
    1,377.80/1,901.34 = 748.31/x
  3. Step 3: Cross multiply
    1,377.80x = 1,901.34 × 748.31
  4. Step 4: Simplify right side
    1,377.80x = 1,422,796.49
  5. Step 5: Solve for x
    x = 1,422,796.49/1,377.80
  6. Step 6: Final answer
    x = 1,032.66

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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.