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Finding the Fourth Proportional to 1,406.12, 2,107.02 and 789.08

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Solution

The fourth proportional to 1,406.12, 2,107.02 and 789.08 is: 1,182.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.12 : 2,107.02 = 789.08 : x
  2. Step 2: Convert to fraction form
    1,406.12/2,107.02 = 789.08/x
  3. Step 3: Cross multiply
    1,406.12x = 2,107.02 × 789.08
  4. Step 4: Simplify right side
    1,406.12x = 1,662,607.34
  5. Step 5: Solve for x
    x = 1,662,607.34/1,406.12
  6. Step 6: Final answer
    x = 1,182.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.