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Finding the Fourth Proportional to 1,152.53, 1,729.09 and 449.75

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Solution

The fourth proportional to 1,152.53, 1,729.09 and 449.75 is: 674.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.53 : 1,729.09 = 449.75 : x
  2. Step 2: Convert to fraction form
    1,152.53/1,729.09 = 449.75/x
  3. Step 3: Cross multiply
    1,152.53x = 1,729.09 × 449.75
  4. Step 4: Simplify right side
    1,152.53x = 777,649.58
  5. Step 5: Solve for x
    x = 777,649.58/1,152.53
  6. Step 6: Final answer
    x = 674.74

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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.