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Finding the Fourth Proportional to 1,366.24, 2,049.56 and 500.48

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Solution

The fourth proportional to 1,366.24, 2,049.56 and 500.48 is: 750.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.24 : 2,049.56 = 500.48 : x
  2. Step 2: Convert to fraction form
    1,366.24/2,049.56 = 500.48/x
  3. Step 3: Cross multiply
    1,366.24x = 2,049.56 × 500.48
  4. Step 4: Simplify right side
    1,366.24x = 1,025,774.95
  5. Step 5: Solve for x
    x = 1,025,774.95/1,366.24
  6. Step 6: Final answer
    x = 750.80

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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.