Home / 1,065.40-1,596.01-949.30

Finding the Fourth Proportional to 1,065.40, 1,596.01 and 949.30

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Solution

The fourth proportional to 1,065.40, 1,596.01 and 949.30 is: 1,422.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.40 : 1,596.01 = 949.30 : x
  2. Step 2: Convert to fraction form
    1,065.40/1,596.01 = 949.30/x
  3. Step 3: Cross multiply
    1,065.40x = 1,596.01 × 949.30
  4. Step 4: Simplify right side
    1,065.40x = 1,515,089.92
  5. Step 5: Solve for x
    x = 1,515,089.92/1,065.40
  6. Step 6: Final answer
    x = 1,422.09

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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.