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Finding the Fourth Proportional to 1,368.24, 2,052.36 and 546.28

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Solution

The fourth proportional to 1,368.24, 2,052.36 and 546.28 is: 819.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.24 : 2,052.36 = 546.28 : x
  2. Step 2: Convert to fraction form
    1,368.24/2,052.36 = 546.28/x
  3. Step 3: Cross multiply
    1,368.24x = 2,052.36 × 546.28
  4. Step 4: Simplify right side
    1,368.24x = 1,121,163.22
  5. Step 5: Solve for x
    x = 1,121,163.22/1,368.24
  6. Step 6: Final answer
    x = 819.42

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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.