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Finding the Fourth Proportional to 1,410.91, 1,947.05 and 789.91

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Solution

The fourth proportional to 1,410.91, 1,947.05 and 789.91 is: 1,090.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.91 : 1,947.05 = 789.91 : x
  2. Step 2: Convert to fraction form
    1,410.91/1,947.05 = 789.91/x
  3. Step 3: Cross multiply
    1,410.91x = 1,947.05 × 789.91
  4. Step 4: Simplify right side
    1,410.91x = 1,537,984.53
  5. Step 5: Solve for x
    x = 1,537,984.53/1,410.91
  6. Step 6: Final answer
    x = 1,090.07

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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.