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Finding the Fourth Proportional to 1,063.44, 1,591.79 and 599.84

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Solution

The fourth proportional to 1,063.44, 1,591.79 and 599.84 is: 897.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.44 : 1,591.79 = 599.84 : x
  2. Step 2: Convert to fraction form
    1,063.44/1,591.79 = 599.84/x
  3. Step 3: Cross multiply
    1,063.44x = 1,591.79 × 599.84
  4. Step 4: Simplify right side
    1,063.44x = 954,816.86
  5. Step 5: Solve for x
    x = 954,816.86/1,063.44
  6. Step 6: Final answer
    x = 897.86

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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.