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Finding the Fourth Proportional to 1,253.02, 1,729.40 and 729.12

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Solution

The fourth proportional to 1,253.02, 1,729.40 and 729.12 is: 1,006.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.02 : 1,729.40 = 729.12 : x
  2. Step 2: Convert to fraction form
    1,253.02/1,729.40 = 729.12/x
  3. Step 3: Cross multiply
    1,253.02x = 1,729.40 × 729.12
  4. Step 4: Simplify right side
    1,253.02x = 1,260,940.13
  5. Step 5: Solve for x
    x = 1,260,940.13/1,253.02
  6. Step 6: Final answer
    x = 1,006.32

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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.