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Finding the Fourth Proportional to 1,089.35, 1,633.16 and 541.23

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Solution

The fourth proportional to 1,089.35, 1,633.16 and 541.23 is: 811.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.35 : 1,633.16 = 541.23 : x
  2. Step 2: Convert to fraction form
    1,089.35/1,633.16 = 541.23/x
  3. Step 3: Cross multiply
    1,089.35x = 1,633.16 × 541.23
  4. Step 4: Simplify right side
    1,089.35x = 883,919.60
  5. Step 5: Solve for x
    x = 883,919.60/1,089.35
  6. Step 6: Final answer
    x = 811.42

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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.