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Finding the Fourth Proportional to 1,406.25, 2,109.68 and 790.31

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Solution

The fourth proportional to 1,406.25, 2,109.68 and 790.31 is: 1,185.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.25 : 2,109.68 = 790.31 : x
  2. Step 2: Convert to fraction form
    1,406.25/2,109.68 = 790.31/x
  3. Step 3: Cross multiply
    1,406.25x = 2,109.68 × 790.31
  4. Step 4: Simplify right side
    1,406.25x = 1,667,286.70
  5. Step 5: Solve for x
    x = 1,667,286.70/1,406.25
  6. Step 6: Final answer
    x = 1,185.63

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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.