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Finding the Fourth Proportional to 1,253.64, 1,729.68 and 729.60

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Solution

The fourth proportional to 1,253.64, 1,729.68 and 729.60 is: 1,006.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.64 : 1,729.68 = 729.60 : x
  2. Step 2: Convert to fraction form
    1,253.64/1,729.68 = 729.60/x
  3. Step 3: Cross multiply
    1,253.64x = 1,729.68 × 729.60
  4. Step 4: Simplify right side
    1,253.64x = 1,261,974.53
  5. Step 5: Solve for x
    x = 1,261,974.53/1,253.64
  6. Step 6: Final answer
    x = 1,006.65

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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.