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Finding the Fourth Proportional to 1,410.31, 1,946.24 and 789.31

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Solution

The fourth proportional to 1,410.31, 1,946.24 and 789.31 is: 1,089.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.31 : 1,946.24 = 789.31 : x
  2. Step 2: Convert to fraction form
    1,410.31/1,946.24 = 789.31/x
  3. Step 3: Cross multiply
    1,410.31x = 1,946.24 × 789.31
  4. Step 4: Simplify right side
    1,410.31x = 1,536,186.69
  5. Step 5: Solve for x
    x = 1,536,186.69/1,410.31
  6. Step 6: Final answer
    x = 1,089.25

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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.