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Finding the Fourth Proportional to 1,253.56, 1,730.01 and 729.64

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Solution

The fourth proportional to 1,253.56, 1,730.01 and 729.64 is: 1,006.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.56 : 1,730.01 = 729.64 : x
  2. Step 2: Convert to fraction form
    1,253.56/1,730.01 = 729.64/x
  3. Step 3: Cross multiply
    1,253.56x = 1,730.01 × 729.64
  4. Step 4: Simplify right side
    1,253.56x = 1,262,284.50
  5. Step 5: Solve for x
    x = 1,262,284.50/1,253.56
  6. Step 6: Final answer
    x = 1,006.96

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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.