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Finding the Fourth Proportional to 1,149.26, 1,724.20 and 500.08

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Solution

The fourth proportional to 1,149.26, 1,724.20 and 500.08 is: 750.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.26 : 1,724.20 = 500.08 : x
  2. Step 2: Convert to fraction form
    1,149.26/1,724.20 = 500.08/x
  3. Step 3: Cross multiply
    1,149.26x = 1,724.20 × 500.08
  4. Step 4: Simplify right side
    1,149.26x = 862,237.94
  5. Step 5: Solve for x
    x = 862,237.94/1,149.26
  6. Step 6: Final answer
    x = 750.25

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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.