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Finding the Fourth Proportional to 843.76, 1,264.29 and 599.86

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Solution

The fourth proportional to 843.76, 1,264.29 and 599.86 is: 898.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.76 : 1,264.29 = 599.86 : x
  2. Step 2: Convert to fraction form
    843.76/1,264.29 = 599.86/x
  3. Step 3: Cross multiply
    843.76x = 1,264.29 × 599.86
  4. Step 4: Simplify right side
    843.76x = 758,397.00
  5. Step 5: Solve for x
    x = 758,397.00/843.76
  6. Step 6: Final answer
    x = 898.83

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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.