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Finding the Fourth Proportional to 1,154.28, 1,731.44 and 504.87

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Solution

The fourth proportional to 1,154.28, 1,731.44 and 504.87 is: 757.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.28 : 1,731.44 = 504.87 : x
  2. Step 2: Convert to fraction form
    1,154.28/1,731.44 = 504.87/x
  3. Step 3: Cross multiply
    1,154.28x = 1,731.44 × 504.87
  4. Step 4: Simplify right side
    1,154.28x = 874,146.88
  5. Step 5: Solve for x
    x = 874,146.88/1,154.28
  6. Step 6: Final answer
    x = 757.31

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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.