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Finding the Fourth Proportional to 1,429.75, 2,139.77 and 812.53

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Solution

The fourth proportional to 1,429.75, 2,139.77 and 812.53 is: 1,216.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.75 : 2,139.77 = 812.53 : x
  2. Step 2: Convert to fraction form
    1,429.75/2,139.77 = 812.53/x
  3. Step 3: Cross multiply
    1,429.75x = 2,139.77 × 812.53
  4. Step 4: Simplify right side
    1,429.75x = 1,738,627.45
  5. Step 5: Solve for x
    x = 1,738,627.45/1,429.75
  6. Step 6: Final answer
    x = 1,216.03

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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.