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Finding the Fourth Proportional to 1,190.21, 1,785.01 and 540.82

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Solution

The fourth proportional to 1,190.21, 1,785.01 and 540.82 is: 811.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.21 : 1,785.01 = 540.82 : x
  2. Step 2: Convert to fraction form
    1,190.21/1,785.01 = 540.82/x
  3. Step 3: Cross multiply
    1,190.21x = 1,785.01 × 540.82
  4. Step 4: Simplify right side
    1,190.21x = 965,369.11
  5. Step 5: Solve for x
    x = 965,369.11/1,190.21
  6. Step 6: Final answer
    x = 811.09

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Why These Related Problems?

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