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Finding the Fourth Proportional to 1,157.76, 1,736.84 and 499.64

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Solution

The fourth proportional to 1,157.76, 1,736.84 and 499.64 is: 749.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.76 : 1,736.84 = 499.64 : x
  2. Step 2: Convert to fraction form
    1,157.76/1,736.84 = 499.64/x
  3. Step 3: Cross multiply
    1,157.76x = 1,736.84 × 499.64
  4. Step 4: Simplify right side
    1,157.76x = 867,787.30
  5. Step 5: Solve for x
    x = 867,787.30/1,157.76
  6. Step 6: Final answer
    x = 749.54

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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.