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Finding the Fourth Proportional to 1,081.42, 1,621.21 and 532.86

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Solution

The fourth proportional to 1,081.42, 1,621.21 and 532.86 is: 798.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.42 : 1,621.21 = 532.86 : x
  2. Step 2: Convert to fraction form
    1,081.42/1,621.21 = 532.86/x
  3. Step 3: Cross multiply
    1,081.42x = 1,621.21 × 532.86
  4. Step 4: Simplify right side
    1,081.42x = 863,877.96
  5. Step 5: Solve for x
    x = 863,877.96/1,081.42
  6. Step 6: Final answer
    x = 798.84

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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.