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Finding the Fourth Proportional to 1,353.17, 2,029.76 and 379.28

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Solution

The fourth proportional to 1,353.17, 2,029.76 and 379.28 is: 568.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.17 : 2,029.76 = 379.28 : x
  2. Step 2: Convert to fraction form
    1,353.17/2,029.76 = 379.28/x
  3. Step 3: Cross multiply
    1,353.17x = 2,029.76 × 379.28
  4. Step 4: Simplify right side
    1,353.17x = 769,851.97
  5. Step 5: Solve for x
    x = 769,851.97/1,353.17
  6. Step 6: Final answer
    x = 568.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.