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Finding the Fourth Proportional to 1,449.21, 2,174.63 and 583.59

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Solution

The fourth proportional to 1,449.21, 2,174.63 and 583.59 is: 875.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.21 : 2,174.63 = 583.59 : x
  2. Step 2: Convert to fraction form
    1,449.21/2,174.63 = 583.59/x
  3. Step 3: Cross multiply
    1,449.21x = 2,174.63 × 583.59
  4. Step 4: Simplify right side
    1,449.21x = 1,269,089.40
  5. Step 5: Solve for x
    x = 1,269,089.40/1,449.21
  6. Step 6: Final answer
    x = 875.71

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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.