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Finding the Fourth Proportional to 1,081.96, 1,623.05 and 533.61

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Solution

The fourth proportional to 1,081.96, 1,623.05 and 533.61 is: 800.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.96 : 1,623.05 = 533.61 : x
  2. Step 2: Convert to fraction form
    1,081.96/1,623.05 = 533.61/x
  3. Step 3: Cross multiply
    1,081.96x = 1,623.05 × 533.61
  4. Step 4: Simplify right side
    1,081.96x = 866,079.77
  5. Step 5: Solve for x
    x = 866,079.77/1,081.96
  6. Step 6: Final answer
    x = 800.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.