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Finding the Fourth Proportional to 1,213.66, 1,820.49 and 347.98

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Solution

The fourth proportional to 1,213.66, 1,820.49 and 347.98 is: 521.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.66 : 1,820.49 = 347.98 : x
  2. Step 2: Convert to fraction form
    1,213.66/1,820.49 = 347.98/x
  3. Step 3: Cross multiply
    1,213.66x = 1,820.49 × 347.98
  4. Step 4: Simplify right side
    1,213.66x = 633,494.11
  5. Step 5: Solve for x
    x = 633,494.11/1,213.66
  6. Step 6: Final answer
    x = 521.97

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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.