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Finding the Fourth Proportional to 1,353.17, 2,029.80 and 487.46

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Solution

The fourth proportional to 1,353.17, 2,029.80 and 487.46 is: 731.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.17 : 2,029.80 = 487.46 : x
  2. Step 2: Convert to fraction form
    1,353.17/2,029.80 = 487.46/x
  3. Step 3: Cross multiply
    1,353.17x = 2,029.80 × 487.46
  4. Step 4: Simplify right side
    1,353.17x = 989,446.31
  5. Step 5: Solve for x
    x = 989,446.31/1,353.17
  6. Step 6: Final answer
    x = 731.21

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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.