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Finding the Fourth Proportional to 1,089.78, 1,635.09 and 512.25

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Solution

The fourth proportional to 1,089.78, 1,635.09 and 512.25 is: 768.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.78 : 1,635.09 = 512.25 : x
  2. Step 2: Convert to fraction form
    1,089.78/1,635.09 = 512.25/x
  3. Step 3: Cross multiply
    1,089.78x = 1,635.09 × 512.25
  4. Step 4: Simplify right side
    1,089.78x = 837,574.85
  5. Step 5: Solve for x
    x = 837,574.85/1,089.78
  6. Step 6: Final answer
    x = 768.57

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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.