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Finding the Fourth Proportional to 873.82, 1,310.50 and 325.99

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Solution

The fourth proportional to 873.82, 1,310.50 and 325.99 is: 488.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.82 : 1,310.50 = 325.99 : x
  2. Step 2: Convert to fraction form
    873.82/1,310.50 = 325.99/x
  3. Step 3: Cross multiply
    873.82x = 1,310.50 × 325.99
  4. Step 4: Simplify right side
    873.82x = 427,209.90
  5. Step 5: Solve for x
    x = 427,209.90/873.82
  6. Step 6: Final answer
    x = 488.90

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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.