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Finding the Fourth Proportional to 874.53, 1,310.67 and 462.81

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Solution

The fourth proportional to 874.53, 1,310.67 and 462.81 is: 693.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.53 : 1,310.67 = 462.81 : x
  2. Step 2: Convert to fraction form
    874.53/1,310.67 = 462.81/x
  3. Step 3: Cross multiply
    874.53x = 1,310.67 × 462.81
  4. Step 4: Simplify right side
    874.53x = 606,591.18
  5. Step 5: Solve for x
    x = 606,591.18/874.53
  6. Step 6: Final answer
    x = 693.62

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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.