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Finding the Fourth Proportional to 1,449.60, 2,174.76 and 475.80

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Solution

The fourth proportional to 1,449.60, 2,174.76 and 475.80 is: 713.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.60 : 2,174.76 = 475.80 : x
  2. Step 2: Convert to fraction form
    1,449.60/2,174.76 = 475.80/x
  3. Step 3: Cross multiply
    1,449.60x = 2,174.76 × 475.80
  4. Step 4: Simplify right side
    1,449.60x = 1,034,750.81
  5. Step 5: Solve for x
    x = 1,034,750.81/1,449.60
  6. Step 6: Final answer
    x = 713.82

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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.