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Finding the Fourth Proportional to 1,089.97, 1,635.01 and 541.51

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Solution

The fourth proportional to 1,089.97, 1,635.01 and 541.51 is: 812.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.97 : 1,635.01 = 541.51 : x
  2. Step 2: Convert to fraction form
    1,089.97/1,635.01 = 541.51/x
  3. Step 3: Cross multiply
    1,089.97x = 1,635.01 × 541.51
  4. Step 4: Simplify right side
    1,089.97x = 885,374.95
  5. Step 5: Solve for x
    x = 885,374.95/1,089.97
  6. Step 6: Final answer
    x = 812.29

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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.