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Finding the Fourth Proportional to 1,214.37, 1,820.34 and 521.49

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Solution

The fourth proportional to 1,214.37, 1,820.34 and 521.49 is: 781.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.37 : 1,820.34 = 521.49 : x
  2. Step 2: Convert to fraction form
    1,214.37/1,820.34 = 521.49/x
  3. Step 3: Cross multiply
    1,214.37x = 1,820.34 × 521.49
  4. Step 4: Simplify right side
    1,214.37x = 949,289.11
  5. Step 5: Solve for x
    x = 949,289.11/1,214.37
  6. Step 6: Final answer
    x = 781.71

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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.