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Finding the Fourth Proportional to 1,059.29, 1,462.27 and 729.41

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Solution

The fourth proportional to 1,059.29, 1,462.27 and 729.41 is: 1,006.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.29 : 1,462.27 = 729.41 : x
  2. Step 2: Convert to fraction form
    1,059.29/1,462.27 = 729.41/x
  3. Step 3: Cross multiply
    1,059.29x = 1,462.27 × 729.41
  4. Step 4: Simplify right side
    1,059.29x = 1,066,594.36
  5. Step 5: Solve for x
    x = 1,066,594.36/1,059.29
  6. Step 6: Final answer
    x = 1,006.90

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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.