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Finding the Fourth Proportional to 1,350.84, 1,864.31 and 761.43

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Solution

The fourth proportional to 1,350.84, 1,864.31 and 761.43 is: 1,050.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.84 : 1,864.31 = 761.43 : x
  2. Step 2: Convert to fraction form
    1,350.84/1,864.31 = 761.43/x
  3. Step 3: Cross multiply
    1,350.84x = 1,864.31 × 761.43
  4. Step 4: Simplify right side
    1,350.84x = 1,419,537.76
  5. Step 5: Solve for x
    x = 1,419,537.76/1,350.84
  6. Step 6: Final answer
    x = 1,050.86

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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.