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Finding the Fourth Proportional to 1,352.17, 2,028.27 and 486.49

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Solution

The fourth proportional to 1,352.17, 2,028.27 and 486.49 is: 729.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.17 : 2,028.27 = 486.49 : x
  2. Step 2: Convert to fraction form
    1,352.17/2,028.27 = 486.49/x
  3. Step 3: Cross multiply
    1,352.17x = 2,028.27 × 486.49
  4. Step 4: Simplify right side
    1,352.17x = 986,733.07
  5. Step 5: Solve for x
    x = 986,733.07/1,352.17
  6. Step 6: Final answer
    x = 729.74

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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.