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Finding the Fourth Proportional to 974.09, 1,460.13 and 729.88

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Solution

The fourth proportional to 974.09, 1,460.13 and 729.88 is: 1,094.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.09 : 1,460.13 = 729.88 : x
  2. Step 2: Convert to fraction form
    974.09/1,460.13 = 729.88/x
  3. Step 3: Cross multiply
    974.09x = 1,460.13 × 729.88
  4. Step 4: Simplify right side
    974.09x = 1,065,713.30
  5. Step 5: Solve for x
    x = 1,065,713.30/974.09
  6. Step 6: Final answer
    x = 1,094.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.