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Finding the Fourth Proportional to 1,449.30, 2,174.01 and 475.31

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Solution

The fourth proportional to 1,449.30, 2,174.01 and 475.31 is: 712.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.30 : 2,174.01 = 475.31 : x
  2. Step 2: Convert to fraction form
    1,449.30/2,174.01 = 475.31/x
  3. Step 3: Cross multiply
    1,449.30x = 2,174.01 × 475.31
  4. Step 4: Simplify right side
    1,449.30x = 1,033,332.35
  5. Step 5: Solve for x
    x = 1,033,332.35/1,449.30
  6. Step 6: Final answer
    x = 712.99

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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.