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Finding the Fourth Proportional to 1,253.66, 1,730.38 and 729.78

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Solution

The fourth proportional to 1,253.66, 1,730.38 and 729.78 is: 1,007.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.66 : 1,730.38 = 729.78 : x
  2. Step 2: Convert to fraction form
    1,253.66/1,730.38 = 729.78/x
  3. Step 3: Cross multiply
    1,253.66x = 1,730.38 × 729.78
  4. Step 4: Simplify right side
    1,253.66x = 1,262,796.72
  5. Step 5: Solve for x
    x = 1,262,796.72/1,253.66
  6. Step 6: Final answer
    x = 1,007.29

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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.