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Finding the Fourth Proportional to 873.41, 1,310.25 and 600.03

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Solution

The fourth proportional to 873.41, 1,310.25 and 600.03 is: 900.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.41 : 1,310.25 = 600.03 : x
  2. Step 2: Convert to fraction form
    873.41/1,310.25 = 600.03/x
  3. Step 3: Cross multiply
    873.41x = 1,310.25 × 600.03
  4. Step 4: Simplify right side
    873.41x = 786,189.31
  5. Step 5: Solve for x
    x = 786,189.31/873.41
  6. Step 6: Final answer
    x = 900.14

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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.