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Finding the Fourth Proportional to 1,253.53, 1,729.56 and 756.46

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Solution

The fourth proportional to 1,253.53, 1,729.56 and 756.46 is: 1,043.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.53 : 1,729.56 = 756.46 : x
  2. Step 2: Convert to fraction form
    1,253.53/1,729.56 = 756.46/x
  3. Step 3: Cross multiply
    1,253.53x = 1,729.56 × 756.46
  4. Step 4: Simplify right side
    1,253.53x = 1,308,342.96
  5. Step 5: Solve for x
    x = 1,308,342.96/1,253.53
  6. Step 6: Final answer
    x = 1,043.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.