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Finding the Fourth Proportional to 1,089.94, 1,633.46 and 596.56

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Solution

The fourth proportional to 1,089.94, 1,633.46 and 596.56 is: 894.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.94 : 1,633.46 = 596.56 : x
  2. Step 2: Convert to fraction form
    1,089.94/1,633.46 = 596.56/x
  3. Step 3: Cross multiply
    1,089.94x = 1,633.46 × 596.56
  4. Step 4: Simplify right side
    1,089.94x = 974,456.90
  5. Step 5: Solve for x
    x = 974,456.90/1,089.94
  6. Step 6: Final answer
    x = 894.05

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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.