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Finding the Fourth Proportional to 1,449.82, 2,174.70 and 584.14

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Solution

The fourth proportional to 1,449.82, 2,174.70 and 584.14 is: 876.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.82 : 2,174.70 = 584.14 : x
  2. Step 2: Convert to fraction form
    1,449.82/2,174.70 = 584.14/x
  3. Step 3: Cross multiply
    1,449.82x = 2,174.70 × 584.14
  4. Step 4: Simplify right side
    1,449.82x = 1,270,329.26
  5. Step 5: Solve for x
    x = 1,270,329.26/1,449.82
  6. Step 6: Final answer
    x = 876.20

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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.