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Finding the Fourth Proportional to 1,276.24, 1,915.10 and 496.78

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Solution

The fourth proportional to 1,276.24, 1,915.10 and 496.78 is: 745.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.24 : 1,915.10 = 496.78 : x
  2. Step 2: Convert to fraction form
    1,276.24/1,915.10 = 496.78/x
  3. Step 3: Cross multiply
    1,276.24x = 1,915.10 × 496.78
  4. Step 4: Simplify right side
    1,276.24x = 951,384.62
  5. Step 5: Solve for x
    x = 951,384.62/1,276.24
  6. Step 6: Final answer
    x = 745.46

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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.