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Finding the Fourth Proportional to 1,434.25, 2,151.92 and 556.81

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Solution

The fourth proportional to 1,434.25, 2,151.92 and 556.81 is: 835.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.25 : 2,151.92 = 556.81 : x
  2. Step 2: Convert to fraction form
    1,434.25/2,151.92 = 556.81/x
  3. Step 3: Cross multiply
    1,434.25x = 2,151.92 × 556.81
  4. Step 4: Simplify right side
    1,434.25x = 1,198,206.59
  5. Step 5: Solve for x
    x = 1,198,206.59/1,434.25
  6. Step 6: Final answer
    x = 835.42

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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.