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Finding the Fourth Proportional to 1,221.72, 1,684.50 and 1,012.13

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Solution

The fourth proportional to 1,221.72, 1,684.50 and 1,012.13 is: 1,395.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.72 : 1,684.50 = 1,012.13 : x
  2. Step 2: Convert to fraction form
    1,221.72/1,684.50 = 1,012.13/x
  3. Step 3: Cross multiply
    1,221.72x = 1,684.50 × 1,012.13
  4. Step 4: Simplify right side
    1,221.72x = 1,704,932.99
  5. Step 5: Solve for x
    x = 1,704,932.99/1,221.72
  6. Step 6: Final answer
    x = 1,395.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.