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Finding the Fourth Proportional to 874.46, 1,310.47 and 599.87

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Solution

The fourth proportional to 874.46, 1,310.47 and 599.87 is: 898.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.46 : 1,310.47 = 599.87 : x
  2. Step 2: Convert to fraction form
    874.46/1,310.47 = 599.87/x
  3. Step 3: Cross multiply
    874.46x = 1,310.47 × 599.87
  4. Step 4: Simplify right side
    874.46x = 786,103.59
  5. Step 5: Solve for x
    x = 786,103.59/874.46
  6. Step 6: Final answer
    x = 898.96

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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.