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Finding the Fourth Proportional to 1,149.45, 1,723.77 and 533.04

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Solution

The fourth proportional to 1,149.45, 1,723.77 and 533.04 is: 799.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.45 : 1,723.77 = 533.04 : x
  2. Step 2: Convert to fraction form
    1,149.45/1,723.77 = 533.04/x
  3. Step 3: Cross multiply
    1,149.45x = 1,723.77 × 533.04
  4. Step 4: Simplify right side
    1,149.45x = 918,835.70
  5. Step 5: Solve for x
    x = 918,835.70/1,149.45
  6. Step 6: Final answer
    x = 799.37

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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.