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Finding the Fourth Proportional to 1,089.35, 1,631.64 and 677.26

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Solution

The fourth proportional to 1,089.35, 1,631.64 and 677.26 is: 1,014.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.35 : 1,631.64 = 677.26 : x
  2. Step 2: Convert to fraction form
    1,089.35/1,631.64 = 677.26/x
  3. Step 3: Cross multiply
    1,089.35x = 1,631.64 × 677.26
  4. Step 4: Simplify right side
    1,089.35x = 1,105,049.09
  5. Step 5: Solve for x
    x = 1,105,049.09/1,089.35
  6. Step 6: Final answer
    x = 1,014.41

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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.