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Finding the Fourth Proportional to 1,449.90, 2,174.65 and 475.88

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Solution

The fourth proportional to 1,449.90, 2,174.65 and 475.88 is: 713.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.90 : 2,174.65 = 475.88 : x
  2. Step 2: Convert to fraction form
    1,449.90/2,174.65 = 475.88/x
  3. Step 3: Cross multiply
    1,449.90x = 2,174.65 × 475.88
  4. Step 4: Simplify right side
    1,449.90x = 1,034,860.38
  5. Step 5: Solve for x
    x = 1,034,860.38/1,449.90
  6. Step 6: Final answer
    x = 713.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.