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Finding the Fourth Proportional to 1,253.14, 1,729.29 and 729.10

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Solution

The fourth proportional to 1,253.14, 1,729.29 and 729.10 is: 1,006.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.14 : 1,729.29 = 729.10 : x
  2. Step 2: Convert to fraction form
    1,253.14/1,729.29 = 729.10/x
  3. Step 3: Cross multiply
    1,253.14x = 1,729.29 × 729.10
  4. Step 4: Simplify right side
    1,253.14x = 1,260,825.34
  5. Step 5: Solve for x
    x = 1,260,825.34/1,253.14
  6. Step 6: Final answer
    x = 1,006.13

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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.