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Finding the Fourth Proportional to 1,253.28, 1,729.64 and 729.28

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Solution

The fourth proportional to 1,253.28, 1,729.64 and 729.28 is: 1,006.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.28 : 1,729.64 = 729.28 : x
  2. Step 2: Convert to fraction form
    1,253.28/1,729.64 = 729.28/x
  3. Step 3: Cross multiply
    1,253.28x = 1,729.64 × 729.28
  4. Step 4: Simplify right side
    1,253.28x = 1,261,395.84
  5. Step 5: Solve for x
    x = 1,261,395.84/1,253.28
  6. Step 6: Final answer
    x = 1,006.47

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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.