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Finding the Fourth Proportional to 1,089.61, 1,633.98 and 533.97

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Solution

The fourth proportional to 1,089.61, 1,633.98 and 533.97 is: 800.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.61 : 1,633.98 = 533.97 : x
  2. Step 2: Convert to fraction form
    1,089.61/1,633.98 = 533.97/x
  3. Step 3: Cross multiply
    1,089.61x = 1,633.98 × 533.97
  4. Step 4: Simplify right side
    1,089.61x = 872,496.30
  5. Step 5: Solve for x
    x = 872,496.30/1,089.61
  6. Step 6: Final answer
    x = 800.74

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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.