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Finding the Fourth Proportional to 1,089.71, 1,634.68 and 359.29

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Solution

The fourth proportional to 1,089.71, 1,634.68 and 359.29 is: 538.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.71 : 1,634.68 = 359.29 : x
  2. Step 2: Convert to fraction form
    1,089.71/1,634.68 = 359.29/x
  3. Step 3: Cross multiply
    1,089.71x = 1,634.68 × 359.29
  4. Step 4: Simplify right side
    1,089.71x = 587,324.18
  5. Step 5: Solve for x
    x = 587,324.18/1,089.71
  6. Step 6: Final answer
    x = 538.97

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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.