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Finding the Fourth Proportional to 873.59, 1,311.05 and 462.82

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Solution

The fourth proportional to 873.59, 1,311.05 and 462.82 is: 694.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.59 : 1,311.05 = 462.82 : x
  2. Step 2: Convert to fraction form
    873.59/1,311.05 = 462.82/x
  3. Step 3: Cross multiply
    873.59x = 1,311.05 × 462.82
  4. Step 4: Simplify right side
    873.59x = 606,777.03
  5. Step 5: Solve for x
    x = 606,777.03/873.59
  6. Step 6: Final answer
    x = 694.58

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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.