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Finding the Fourth Proportional to 1,449.48, 2,174.00 and 475.58

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Solution

The fourth proportional to 1,449.48, 2,174.00 and 475.58 is: 713.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.48 : 2,174.00 = 475.58 : x
  2. Step 2: Convert to fraction form
    1,449.48/2,174.00 = 475.58/x
  3. Step 3: Cross multiply
    1,449.48x = 2,174.00 × 475.58
  4. Step 4: Simplify right side
    1,449.48x = 1,033,897.67
  5. Step 5: Solve for x
    x = 1,033,897.67/1,449.48
  6. Step 6: Final answer
    x = 713.29

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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.