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Finding the Fourth Proportional to 1,089.09, 1,634.11 and 431.16

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Solution

The fourth proportional to 1,089.09, 1,634.11 and 431.16 is: 646.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.09 : 1,634.11 = 431.16 : x
  2. Step 2: Convert to fraction form
    1,089.09/1,634.11 = 431.16/x
  3. Step 3: Cross multiply
    1,089.09x = 1,634.11 × 431.16
  4. Step 4: Simplify right side
    1,089.09x = 704,562.87
  5. Step 5: Solve for x
    x = 704,562.87/1,089.09
  6. Step 6: Final answer
    x = 646.93

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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.